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Finding the Fourth Proportional to 2,498, 3,447.24 and 1,394

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Solution

The fourth proportional to 2,498, 3,447.24 and 1,394 is: 1,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498 : 3,447.24 = 1,394 : x
  2. Step 2: Convert to fraction form
    2,498/3,447.24 = 1,394/x
  3. Step 3: Cross multiply
    2,498x = 3,447.24 × 1,394
  4. Step 4: Simplify right side
    2,498x = 4,805,452.56
  5. Step 5: Solve for x
    x = 4,805,452.56/2,498
  6. Step 6: Final answer
    x = 1,923.72

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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.