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Finding the Fourth Proportional to 2,462.28, 3,694.02 and 818.82

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Solution

The fourth proportional to 2,462.28, 3,694.02 and 818.82 is: 1,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.28 : 3,694.02 = 818.82 : x
  2. Step 2: Convert to fraction form
    2,462.28/3,694.02 = 818.82/x
  3. Step 3: Cross multiply
    2,462.28x = 3,694.02 × 818.82
  4. Step 4: Simplify right side
    2,462.28x = 3,024,737.46
  5. Step 5: Solve for x
    x = 3,024,737.46/2,462.28
  6. Step 6: Final answer
    x = 1,228.43

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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.