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Finding the Fourth Proportional to 2,469.35, 3,407.55 and 1,474.62

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Solution

The fourth proportional to 2,469.35, 3,407.55 and 1,474.62 is: 2,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.35 : 3,407.55 = 1,474.62 : x
  2. Step 2: Convert to fraction form
    2,469.35/3,407.55 = 1,474.62/x
  3. Step 3: Cross multiply
    2,469.35x = 3,407.55 × 1,474.62
  4. Step 4: Simplify right side
    2,469.35x = 5,024,841.38
  5. Step 5: Solve for x
    x = 5,024,841.38/2,469.35
  6. Step 6: Final answer
    x = 2,034.88

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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.