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Finding the Fourth Proportional to 2,294.31, 3,446.97 and 1,474.20

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Solution

The fourth proportional to 2,294.31, 3,446.97 and 1,474.20 is: 2,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.31 : 3,446.97 = 1,474.20 : x
  2. Step 2: Convert to fraction form
    2,294.31/3,446.97 = 1,474.20/x
  3. Step 3: Cross multiply
    2,294.31x = 3,446.97 × 1,474.20
  4. Step 4: Simplify right side
    2,294.31x = 5,081,523.17
  5. Step 5: Solve for x
    x = 5,081,523.17/2,294.31
  6. Step 6: Final answer
    x = 2,214.84

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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.