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Finding the Fourth Proportional to 1,411.62, 2,116.17 and 717.90

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Solution

The fourth proportional to 1,411.62, 2,116.17 and 717.90 is: 1,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.62 : 2,116.17 = 717.90 : x
  2. Step 2: Convert to fraction form
    1,411.62/2,116.17 = 717.90/x
  3. Step 3: Cross multiply
    1,411.62x = 2,116.17 × 717.90
  4. Step 4: Simplify right side
    1,411.62x = 1,519,198.44
  5. Step 5: Solve for x
    x = 1,519,198.44/1,411.62
  6. Step 6: Final answer
    x = 1,076.21

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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.