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Finding the Fourth Proportional to 2,229.62, 3,342.06 and 1,613.03

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Solution

The fourth proportional to 2,229.62, 3,342.06 and 1,613.03 is: 2,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.62 : 3,342.06 = 1,613.03 : x
  2. Step 2: Convert to fraction form
    2,229.62/3,342.06 = 1,613.03/x
  3. Step 3: Cross multiply
    2,229.62x = 3,342.06 × 1,613.03
  4. Step 4: Simplify right side
    2,229.62x = 5,390,843.04
  5. Step 5: Solve for x
    x = 5,390,843.04/2,229.62
  6. Step 6: Final answer
    x = 2,417.83

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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.