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Finding the Fourth Proportional to 3,136.28, 4,704.54 and 827.80

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Solution

The fourth proportional to 3,136.28, 4,704.54 and 827.80 is: 1,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.28 : 4,704.54 = 827.80 : x
  2. Step 2: Convert to fraction form
    3,136.28/4,704.54 = 827.80/x
  3. Step 3: Cross multiply
    3,136.28x = 4,704.54 × 827.80
  4. Step 4: Simplify right side
    3,136.28x = 3,894,418.21
  5. Step 5: Solve for x
    x = 3,894,418.21/3,136.28
  6. Step 6: Final answer
    x = 1,241.73

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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.