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Finding the Fourth Proportional to 2,449.43, 3,380.90 and 2,008.38

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Solution

The fourth proportional to 2,449.43, 3,380.90 and 2,008.38 is: 2,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.43 : 3,380.90 = 2,008.38 : x
  2. Step 2: Convert to fraction form
    2,449.43/3,380.90 = 2,008.38/x
  3. Step 3: Cross multiply
    2,449.43x = 3,380.90 × 2,008.38
  4. Step 4: Simplify right side
    2,449.43x = 6,790,131.94
  5. Step 5: Solve for x
    x = 6,790,131.94/2,449.43
  6. Step 6: Final answer
    x = 2,772.13

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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.