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Finding the Fourth Proportional to 2,275.28, 3,414.03 and 814.54

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Solution

The fourth proportional to 2,275.28, 3,414.03 and 814.54 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.28 : 3,414.03 = 814.54 : x
  2. Step 2: Convert to fraction form
    2,275.28/3,414.03 = 814.54/x
  3. Step 3: Cross multiply
    2,275.28x = 3,414.03 × 814.54
  4. Step 4: Simplify right side
    2,275.28x = 2,780,861.96
  5. Step 5: Solve for x
    x = 2,780,861.96/2,275.28
  6. Step 6: Final answer
    x = 1,222.21

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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.