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Finding the Fourth Proportional to 2,294.14, 3,439.15 and 832.27

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Solution

The fourth proportional to 2,294.14, 3,439.15 and 832.27 is: 1,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.14 : 3,439.15 = 832.27 : x
  2. Step 2: Convert to fraction form
    2,294.14/3,439.15 = 832.27/x
  3. Step 3: Cross multiply
    2,294.14x = 3,439.15 × 832.27
  4. Step 4: Simplify right side
    2,294.14x = 2,862,290.69
  5. Step 5: Solve for x
    x = 2,862,290.69/2,294.14
  6. Step 6: Final answer
    x = 1,247.65

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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.