Verified Answer :

apologiabiology

even consecutive integers are 2 apart
they are
x,x+2,x+4,x+6

sum is 2740

x+x+2+x+4+x+6=2740
4x+12=2740
minus 12 both sides
4x=2728
divide both sides by 4
x=682
x+2=684
x+4=686
x+6=688

the largest is 688

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