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Finding the Fourth Proportional to 2,462.75, 3,691.04 and 2,167.51

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Solution

The fourth proportional to 2,462.75, 3,691.04 and 2,167.51 is: 3,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.75 : 3,691.04 = 2,167.51 : x
  2. Step 2: Convert to fraction form
    2,462.75/3,691.04 = 2,167.51/x
  3. Step 3: Cross multiply
    2,462.75x = 3,691.04 × 2,167.51
  4. Step 4: Simplify right side
    2,462.75x = 8,000,352.97
  5. Step 5: Solve for x
    x = 8,000,352.97/2,462.75
  6. Step 6: Final answer
    x = 3,248.54

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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.