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Finding the Fourth Proportional to 3,171.90, 4,757.76 and 1,691.61

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Solution

The fourth proportional to 3,171.90, 4,757.76 and 1,691.61 is: 2,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.90 : 4,757.76 = 1,691.61 : x
  2. Step 2: Convert to fraction form
    3,171.90/4,757.76 = 1,691.61/x
  3. Step 3: Cross multiply
    3,171.90x = 4,757.76 × 1,691.61
  4. Step 4: Simplify right side
    3,171.90x = 8,048,274.39
  5. Step 5: Solve for x
    x = 8,048,274.39/3,171.90
  6. Step 6: Final answer
    x = 2,537.37

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