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Finding the Fourth Proportional to 2,294.91, 3,439.31 and 832.68

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Solution

The fourth proportional to 2,294.91, 3,439.31 and 832.68 is: 1,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.91 : 3,439.31 = 832.68 : x
  2. Step 2: Convert to fraction form
    2,294.91/3,439.31 = 832.68/x
  3. Step 3: Cross multiply
    2,294.91x = 3,439.31 × 832.68
  4. Step 4: Simplify right side
    2,294.91x = 2,863,840.49
  5. Step 5: Solve for x
    x = 2,863,840.49/2,294.91
  6. Step 6: Final answer
    x = 1,247.91

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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.