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Finding the Fourth Proportional to 2,464.72, 3,691.68 and 1,162.24

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Solution

The fourth proportional to 2,464.72, 3,691.68 and 1,162.24 is: 1,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,691.68 = 1,162.24 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,691.68 = 1,162.24/x
  3. Step 3: Cross multiply
    2,464.72x = 3,691.68 × 1,162.24
  4. Step 4: Simplify right side
    2,464.72x = 4,290,618.16
  5. Step 5: Solve for x
    x = 4,290,618.16/2,464.72
  6. Step 6: Final answer
    x = 1,740.81

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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.