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Finding the Fourth Proportional to 3,187.60, 4,780.17 and 1,107.04

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Solution

The fourth proportional to 3,187.60, 4,780.17 and 1,107.04 is: 1,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.60 : 4,780.17 = 1,107.04 : x
  2. Step 2: Convert to fraction form
    3,187.60/4,780.17 = 1,107.04/x
  3. Step 3: Cross multiply
    3,187.60x = 4,780.17 × 1,107.04
  4. Step 4: Simplify right side
    3,187.60x = 5,291,839.40
  5. Step 5: Solve for x
    x = 5,291,839.40/3,187.60
  6. Step 6: Final answer
    x = 1,660.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.