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Finding the Fourth Proportional to 1,936.17, 2,671.96 and 1,150.22

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Solution

The fourth proportional to 1,936.17, 2,671.96 and 1,150.22 is: 1,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.17 : 2,671.96 = 1,150.22 : x
  2. Step 2: Convert to fraction form
    1,936.17/2,671.96 = 1,150.22/x
  3. Step 3: Cross multiply
    1,936.17x = 2,671.96 × 1,150.22
  4. Step 4: Simplify right side
    1,936.17x = 3,073,341.83
  5. Step 5: Solve for x
    x = 3,073,341.83/1,936.17
  6. Step 6: Final answer
    x = 1,587.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.