In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[16.878, 165.392, 31.447, -82.8, -37.96]
[ 0.182  1.779  0.338 -0.891 -0.408]

[-9.711, 45.209]
[-0.274  1.274]

[-69.923, -39.44, 51.07, -62.37, 29.847, 2.466, 183.461, -15.71]

[-0.881 -0.497  0.643 -0.786  0.376  0.031  2.311 -0.198]