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Finding the Fourth Proportional to 2,291.87, 3,439.20 and 832.04

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Solution

The fourth proportional to 2,291.87, 3,439.20 and 832.04 is: 1,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.87 : 3,439.20 = 832.04 : x
  2. Step 2: Convert to fraction form
    2,291.87/3,439.20 = 832.04/x
  3. Step 3: Cross multiply
    2,291.87x = 3,439.20 × 832.04
  4. Step 4: Simplify right side
    2,291.87x = 2,861,534.77
  5. Step 5: Solve for x
    x = 2,861,534.77/2,291.87
  6. Step 6: Final answer
    x = 1,248.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.