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Finding the Fourth Proportional to 2,462.67, 3,399.17 and 1,468.62

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Solution

The fourth proportional to 2,462.67, 3,399.17 and 1,468.62 is: 2,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.67 : 3,399.17 = 1,468.62 : x
  2. Step 2: Convert to fraction form
    2,462.67/3,399.17 = 1,468.62/x
  3. Step 3: Cross multiply
    2,462.67x = 3,399.17 × 1,468.62
  4. Step 4: Simplify right side
    2,462.67x = 4,992,081.70
  5. Step 5: Solve for x
    x = 4,992,081.70/2,462.67
  6. Step 6: Final answer
    x = 2,027.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.