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Finding the Fourth Proportional to 3,397.38, 4,683.42 and 2,400.90

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Solution

The fourth proportional to 3,397.38, 4,683.42 and 2,400.90 is: 3,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.38 : 4,683.42 = 2,400.90 : x
  2. Step 2: Convert to fraction form
    3,397.38/4,683.42 = 2,400.90/x
  3. Step 3: Cross multiply
    3,397.38x = 4,683.42 × 2,400.90
  4. Step 4: Simplify right side
    3,397.38x = 11,244,423.08
  5. Step 5: Solve for x
    x = 11,244,423.08/3,397.38
  6. Step 6: Final answer
    x = 3,309.73

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Why These Related Problems?

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