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Finding the Fourth Proportional to 2,354.46, 3,531.68 and 814.38

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Solution

The fourth proportional to 2,354.46, 3,531.68 and 814.38 is: 1,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.46 : 3,531.68 = 814.38 : x
  2. Step 2: Convert to fraction form
    2,354.46/3,531.68 = 814.38/x
  3. Step 3: Cross multiply
    2,354.46x = 3,531.68 × 814.38
  4. Step 4: Simplify right side
    2,354.46x = 2,876,129.56
  5. Step 5: Solve for x
    x = 2,876,129.56/2,354.46
  6. Step 6: Final answer
    x = 1,221.57

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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.