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Finding the Fourth Proportional to 1,522.57, 2,282.21 and 781.17

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Solution

The fourth proportional to 1,522.57, 2,282.21 and 781.17 is: 1,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.57 : 2,282.21 = 781.17 : x
  2. Step 2: Convert to fraction form
    1,522.57/2,282.21 = 781.17/x
  3. Step 3: Cross multiply
    1,522.57x = 2,282.21 × 781.17
  4. Step 4: Simplify right side
    1,522.57x = 1,782,778.67
  5. Step 5: Solve for x
    x = 1,782,778.67/1,522.57
  6. Step 6: Final answer
    x = 1,170.90

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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.