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.

Example Input: [225.005, 77.471, -47.328, -83.734, -80.38, 79.714, 89.987]
Example Output: [ 0.863  0.297 -0.182 -0.321 -0.308  0.306  0.345]

Example Input: [189.03, -5.087, 112.373, 75.947]
Example Output: [ 0.508 -0.014  0.302  0.204]

Example Input: [126.981, -2.098, -24.561, -4.033, -70.927, 39.333, 7.169, -74.167]
Example Output:
[-55.137   0.911  10.665   1.751  30.798 -17.079  -3.113  32.205]