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Finding the Fourth Proportional to 2,492.13, 3,414.23 and 2,398.71

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Solution

The fourth proportional to 2,492.13, 3,414.23 and 2,398.71 is: 3,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.13 : 3,414.23 = 2,398.71 : x
  2. Step 2: Convert to fraction form
    2,492.13/3,414.23 = 2,398.71/x
  3. Step 3: Cross multiply
    2,492.13x = 3,414.23 × 2,398.71
  4. Step 4: Simplify right side
    2,492.13x = 8,189,747.64
  5. Step 5: Solve for x
    x = 8,189,747.64/2,492.13
  6. Step 6: Final answer
    x = 3,286.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.