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Finding the Fourth Proportional to 1,107.92, 1,519.02 and 1,088.17

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Solution

The fourth proportional to 1,107.92, 1,519.02 and 1,088.17 is: 1,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.92 : 1,519.02 = 1,088.17 : x
  2. Step 2: Convert to fraction form
    1,107.92/1,519.02 = 1,088.17/x
  3. Step 3: Cross multiply
    1,107.92x = 1,519.02 × 1,088.17
  4. Step 4: Simplify right side
    1,107.92x = 1,652,948.20
  5. Step 5: Solve for x
    x = 1,652,948.20/1,107.92
  6. Step 6: Final answer
    x = 1,491.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.