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Finding the Fourth Proportional to 2,349.14, 3,522.72 and 961.52

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Solution

The fourth proportional to 2,349.14, 3,522.72 and 961.52 is: 1,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.14 : 3,522.72 = 961.52 : x
  2. Step 2: Convert to fraction form
    2,349.14/3,522.72 = 961.52/x
  3. Step 3: Cross multiply
    2,349.14x = 3,522.72 × 961.52
  4. Step 4: Simplify right side
    2,349.14x = 3,387,165.73
  5. Step 5: Solve for x
    x = 3,387,165.73/2,349.14
  6. Step 6: Final answer
    x = 1,441.87

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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.