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Finding the Fourth Proportional to 1,531.65, 2,115.14 and 1,252.20

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Solution

The fourth proportional to 1,531.65, 2,115.14 and 1,252.20 is: 1,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.65 : 2,115.14 = 1,252.20 : x
  2. Step 2: Convert to fraction form
    1,531.65/2,115.14 = 1,252.20/x
  3. Step 3: Cross multiply
    1,531.65x = 2,115.14 × 1,252.20
  4. Step 4: Simplify right side
    1,531.65x = 2,648,572.05
  5. Step 5: Solve for x
    x = 2,648,572.05/1,531.65
  6. Step 6: Final answer
    x = 1,729.23

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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.