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Finding the Fourth Proportional to 2,398.14, 3,593.97 and 1,244.70

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Solution

The fourth proportional to 2,398.14, 3,593.97 and 1,244.70 is: 1,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.14 : 3,593.97 = 1,244.70 : x
  2. Step 2: Convert to fraction form
    2,398.14/3,593.97 = 1,244.70/x
  3. Step 3: Cross multiply
    2,398.14x = 3,593.97 × 1,244.70
  4. Step 4: Simplify right side
    2,398.14x = 4,473,414.46
  5. Step 5: Solve for x
    x = 4,473,414.46/2,398.14
  6. Step 6: Final answer
    x = 1,865.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.