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Finding the Fourth Proportional to 3,129.60, 4,691.67 and 1,567.42

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Solution

The fourth proportional to 3,129.60, 4,691.67 and 1,567.42 is: 2,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.60 : 4,691.67 = 1,567.42 : x
  2. Step 2: Convert to fraction form
    3,129.60/4,691.67 = 1,567.42/x
  3. Step 3: Cross multiply
    3,129.60x = 4,691.67 × 1,567.42
  4. Step 4: Simplify right side
    3,129.60x = 7,353,805.66
  5. Step 5: Solve for x
    x = 7,353,805.66/3,129.60
  6. Step 6: Final answer
    x = 2,349.76

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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.