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Finding the Fourth Proportional to 2,529, 3,793.91 and 1,542.42

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Solution

The fourth proportional to 2,529, 3,793.91 and 1,542.42 is: 2,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529 : 3,793.91 = 1,542.42 : x
  2. Step 2: Convert to fraction form
    2,529/3,793.91 = 1,542.42/x
  3. Step 3: Cross multiply
    2,529x = 3,793.91 × 1,542.42
  4. Step 4: Simplify right side
    2,529x = 5,851,794.95
  5. Step 5: Solve for x
    x = 5,851,794.95/2,529
  6. Step 6: Final answer
    x = 2,313.88

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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.