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Finding the Fourth Proportional to 2,757.59, 4,136.40 and 809.85

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Solution

The fourth proportional to 2,757.59, 4,136.40 and 809.85 is: 1,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.59 : 4,136.40 = 809.85 : x
  2. Step 2: Convert to fraction form
    2,757.59/4,136.40 = 809.85/x
  3. Step 3: Cross multiply
    2,757.59x = 4,136.40 × 809.85
  4. Step 4: Simplify right side
    2,757.59x = 3,349,863.54
  5. Step 5: Solve for x
    x = 3,349,863.54/2,757.59
  6. Step 6: Final answer
    x = 1,214.78

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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.