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Finding the Fourth Proportional to 2,468.92, 3,406.97 and 1,349.85

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Solution

The fourth proportional to 2,468.92, 3,406.97 and 1,349.85 is: 1,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.92 : 3,406.97 = 1,349.85 : x
  2. Step 2: Convert to fraction form
    2,468.92/3,406.97 = 1,349.85/x
  3. Step 3: Cross multiply
    2,468.92x = 3,406.97 × 1,349.85
  4. Step 4: Simplify right side
    2,468.92x = 4,598,898.45
  5. Step 5: Solve for x
    x = 4,598,898.45/2,468.92
  6. Step 6: Final answer
    x = 1,862.72

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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.