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Finding the Fourth Proportional to 2,136.49, 3,204.46 and 576.62

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Solution

The fourth proportional to 2,136.49, 3,204.46 and 576.62 is: 864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.49 : 3,204.46 = 576.62 : x
  2. Step 2: Convert to fraction form
    2,136.49/3,204.46 = 576.62/x
  3. Step 3: Cross multiply
    2,136.49x = 3,204.46 × 576.62
  4. Step 4: Simplify right side
    2,136.49x = 1,847,755.73
  5. Step 5: Solve for x
    x = 1,847,755.73/2,136.49
  6. Step 6: Final answer
    x = 864.86

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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.