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Finding the Fourth Proportional to 1,531.29, 2,113.15 and 868.15

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Solution

The fourth proportional to 1,531.29, 2,113.15 and 868.15 is: 1,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.29 : 2,113.15 = 868.15 : x
  2. Step 2: Convert to fraction form
    1,531.29/2,113.15 = 868.15/x
  3. Step 3: Cross multiply
    1,531.29x = 2,113.15 × 868.15
  4. Step 4: Simplify right side
    1,531.29x = 1,834,531.17
  5. Step 5: Solve for x
    x = 1,834,531.17/1,531.29
  6. Step 6: Final answer
    x = 1,198.03

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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.