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Finding the Fourth Proportional to 2,449.03, 3,691.90 and 2,286.10

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Solution

The fourth proportional to 2,449.03, 3,691.90 and 2,286.10 is: 3,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.03 : 3,691.90 = 2,286.10 : x
  2. Step 2: Convert to fraction form
    2,449.03/3,691.90 = 2,286.10/x
  3. Step 3: Cross multiply
    2,449.03x = 3,691.90 × 2,286.10
  4. Step 4: Simplify right side
    2,449.03x = 8,440,052.59
  5. Step 5: Solve for x
    x = 8,440,052.59/2,449.03
  6. Step 6: Final answer
    x = 3,446.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.