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Finding the Fourth Proportional to 2,463.67, 3,691.32 and 2,152.09

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Solution

The fourth proportional to 2,463.67, 3,691.32 and 2,152.09 is: 3,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.67 : 3,691.32 = 2,152.09 : x
  2. Step 2: Convert to fraction form
    2,463.67/3,691.32 = 2,152.09/x
  3. Step 3: Cross multiply
    2,463.67x = 3,691.32 × 2,152.09
  4. Step 4: Simplify right side
    2,463.67x = 7,944,052.86
  5. Step 5: Solve for x
    x = 7,944,052.86/2,463.67
  6. Step 6: Final answer
    x = 3,224.48

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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.