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Finding the Fourth Proportional to 1,522.43, 2,282.78 and 1,002.71

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Solution

The fourth proportional to 1,522.43, 2,282.78 and 1,002.71 is: 1,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.43 : 2,282.78 = 1,002.71 : x
  2. Step 2: Convert to fraction form
    1,522.43/2,282.78 = 1,002.71/x
  3. Step 3: Cross multiply
    1,522.43x = 2,282.78 × 1,002.71
  4. Step 4: Simplify right side
    1,522.43x = 2,288,974.55
  5. Step 5: Solve for x
    x = 2,288,974.55/1,522.43
  6. Step 6: Final answer
    x = 1,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.