US President-elect Joe Biden’s narrow victory in Georgia has been officially certified by Republican Secretary of State Brad Raffensperger.
It comes as legal efforts by Donald Trump’s allies to challenge his defeat were dismissed in three other states.
The Democrat beat his Republican rival in Georgia by 12,284 votes, according to the audit required by state law.
Mr Raffensperger on Friday said he was disappointed that his party lost but that “numbers don’t lie”.
Mr Biden is set to take office in January as the 46th US president.
Mr Biden’s victory margin in the public vote overall stands at more than 5.9 million. His victory in the US Electoral College system, which determines who becomes president, is projected to be 306 to 232 – far above the 270 he needs to win.
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Mr Trump has so far refused to concede and has made allegations of widespread electoral fraud, without providing any evidence.
The latest defeat comes as he has summoned Michigan state lawmakers to the White House on Friday ahead of that state’s deadline to certify election results.
White House spokeswoman Kayleigh McEnany denied that Mr Trump was holding a campaign “advocacy meeting” with the lawmakers, saying it was instead a routine check-in with local officials.
What happened in Georgia?
media captionJoe Biden says Americans are “witnessing incredible irresponsibility” from Donald Trump
On Thursday, Georgia Secretary of State, Brad Raffensperger – who oversees the election process – said the hand audit of ballots had not altered Mr Biden’s victory in the state.
“Georgia’s historic first statewide audit reaffirmed that the state’s new secure paper ballot voting system accurately counted and reported results,” Mr Raffensberger said in a statement.
On Friday, the self-proclaimed Trump supporter went on to say: “Like other Republicans. I’m disappointed, our candidate didn’t win Georgia’s electoral votes.
“I live by the motto that numbers don’t lie. As secretary of state, I believe that the numbers that we have presented today are correct.”
The Democrats’ victory is their first in a presidential race in Georgia since Bill Clinton was elected in 1992.
What could Trump’s next move be?
One possibility that US media are speculating on is that he will try to get Republican-friendly state legislatures in key states to override the choice of voters and instead select members of the US Electoral College who would be favourable to the president.
Mr Trump has invited Michigan’s Republican lawmakers to the White House on Friday, hinting at a possible change in tactics.