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Finding the Fourth Proportional to 2,472.67, 3,412.26 and 1,353.61

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Solution

The fourth proportional to 2,472.67, 3,412.26 and 1,353.61 is: 1,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.67 : 3,412.26 = 1,353.61 : x
  2. Step 2: Convert to fraction form
    2,472.67/3,412.26 = 1,353.61/x
  3. Step 3: Cross multiply
    2,472.67x = 3,412.26 × 1,353.61
  4. Step 4: Simplify right side
    2,472.67x = 4,618,869.26
  5. Step 5: Solve for x
    x = 4,618,869.26/2,472.67
  6. Step 6: Final answer
    x = 1,867.97

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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.