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Finding the Fourth Proportional to 1,600.26, 2,398.97 and 819.83

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Solution

The fourth proportional to 1,600.26, 2,398.97 and 819.83 is: 1,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.26 : 2,398.97 = 819.83 : x
  2. Step 2: Convert to fraction form
    1,600.26/2,398.97 = 819.83/x
  3. Step 3: Cross multiply
    1,600.26x = 2,398.97 × 819.83
  4. Step 4: Simplify right side
    1,600.26x = 1,966,731.48
  5. Step 5: Solve for x
    x = 1,966,731.48/1,600.26
  6. Step 6: Final answer
    x = 1,229.01

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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.