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Finding the Fourth Proportional to 2,398.20, 3,306.18 and 1,865.42

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Solution

The fourth proportional to 2,398.20, 3,306.18 and 1,865.42 is: 2,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.20 : 3,306.18 = 1,865.42 : x
  2. Step 2: Convert to fraction form
    2,398.20/3,306.18 = 1,865.42/x
  3. Step 3: Cross multiply
    2,398.20x = 3,306.18 × 1,865.42
  4. Step 4: Simplify right side
    2,398.20x = 6,167,414.30
  5. Step 5: Solve for x
    x = 6,167,414.30/2,398.20
  6. Step 6: Final answer
    x = 2,571.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.