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Finding the Fourth Proportional to 2,522.72, 3,781.42 and 961.72

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Solution

The fourth proportional to 2,522.72, 3,781.42 and 961.72 is: 1,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.72 : 3,781.42 = 961.72 : x
  2. Step 2: Convert to fraction form
    2,522.72/3,781.42 = 961.72/x
  3. Step 3: Cross multiply
    2,522.72x = 3,781.42 × 961.72
  4. Step 4: Simplify right side
    2,522.72x = 3,636,655.38
  5. Step 5: Solve for x
    x = 3,636,655.38/2,522.72
  6. Step 6: Final answer
    x = 1,441.56

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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.