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Finding the Fourth Proportional to 1,439.57, 2,160.07 and 891.61

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Solution

The fourth proportional to 1,439.57, 2,160.07 and 891.61 is: 1,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.57 : 2,160.07 = 891.61 : x
  2. Step 2: Convert to fraction form
    1,439.57/2,160.07 = 891.61/x
  3. Step 3: Cross multiply
    1,439.57x = 2,160.07 × 891.61
  4. Step 4: Simplify right side
    1,439.57x = 1,925,932.38
  5. Step 5: Solve for x
    x = 1,925,932.38/1,439.57
  6. Step 6: Final answer
    x = 1,337.85

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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.