Let the three numbers be A, B, and C.

According to the given ratio, A:B:C = 1/2 : 2/3 : 3/4

To make the denominators the same, we can multiply the ratios by 12.

So, the ratio becomes A:B:C = 6/12 : 8/12 : 9/12

Now, we can express the numbers in terms of a common multiple of 12.

Let A = 6x, B = 8x, and C = 9x.

The sum of the three numbers is given as 276.

So, 6x + 8x + 9x = 276

23x = 276

Dividing both sides by 23, we get:

x = 12

Therefore, A = 6x = 6 * 12 = 72

B = 8x = 8 * 12 = 96

C = 9x = 9 * 12 = 108

So, the numbers are A = 72, B = 96, and C = 108.