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Finding the Fourth Proportional to 2,498.38, 3,447.15 and 1,553.74

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Solution

The fourth proportional to 2,498.38, 3,447.15 and 1,553.74 is: 2,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.38 : 3,447.15 = 1,553.74 : x
  2. Step 2: Convert to fraction form
    2,498.38/3,447.15 = 1,553.74/x
  3. Step 3: Cross multiply
    2,498.38x = 3,447.15 × 1,553.74
  4. Step 4: Simplify right side
    2,498.38x = 5,355,974.84
  5. Step 5: Solve for x
    x = 5,355,974.84/2,498.38
  6. Step 6: Final answer
    x = 2,143.78

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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.