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Finding the Fourth Proportional to 2,522.52, 3,781.24 and 962.12

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Solution

The fourth proportional to 2,522.52, 3,781.24 and 962.12 is: 1,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.52 : 3,781.24 = 962.12 : x
  2. Step 2: Convert to fraction form
    2,522.52/3,781.24 = 962.12/x
  3. Step 3: Cross multiply
    2,522.52x = 3,781.24 × 962.12
  4. Step 4: Simplify right side
    2,522.52x = 3,638,006.63
  5. Step 5: Solve for x
    x = 3,638,006.63/2,522.52
  6. Step 6: Final answer
    x = 1,442.21

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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.