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Finding the Fourth Proportional to 2,136.33, 3,204 and 819.63

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Solution

The fourth proportional to 2,136.33, 3,204 and 819.63 is: 1,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.33 : 3,204 = 819.63 : x
  2. Step 2: Convert to fraction form
    2,136.33/3,204 = 819.63/x
  3. Step 3: Cross multiply
    2,136.33x = 3,204 × 819.63
  4. Step 4: Simplify right side
    2,136.33x = 2,626,094.52
  5. Step 5: Solve for x
    x = 2,626,094.52/2,136.33
  6. Step 6: Final answer
    x = 1,229.26

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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.