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Finding the Fourth Proportional to 1,551.47, 2,324.43 and 819.41

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Solution

The fourth proportional to 1,551.47, 2,324.43 and 819.41 is: 1,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.47 : 2,324.43 = 819.41 : x
  2. Step 2: Convert to fraction form
    1,551.47/2,324.43 = 819.41/x
  3. Step 3: Cross multiply
    1,551.47x = 2,324.43 × 819.41
  4. Step 4: Simplify right side
    1,551.47x = 1,904,649.56
  5. Step 5: Solve for x
    x = 1,904,649.56/1,551.47
  6. Step 6: Final answer
    x = 1,227.65

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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.