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Finding the Fourth Proportional to 2,757.62, 4,136.70 and 908.75

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Solution

The fourth proportional to 2,757.62, 4,136.70 and 908.75 is: 1,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.62 : 4,136.70 = 908.75 : x
  2. Step 2: Convert to fraction form
    2,757.62/4,136.70 = 908.75/x
  3. Step 3: Cross multiply
    2,757.62x = 4,136.70 × 908.75
  4. Step 4: Simplify right side
    2,757.62x = 3,759,226.13
  5. Step 5: Solve for x
    x = 3,759,226.13/2,757.62
  6. Step 6: Final answer
    x = 1,363.21

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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.