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Finding the Fourth Proportional to 1,781.31, 2,672.22 and 548.39

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Solution

The fourth proportional to 1,781.31, 2,672.22 and 548.39 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.31 : 2,672.22 = 548.39 : x
  2. Step 2: Convert to fraction form
    1,781.31/2,672.22 = 548.39/x
  3. Step 3: Cross multiply
    1,781.31x = 2,672.22 × 548.39
  4. Step 4: Simplify right side
    1,781.31x = 1,465,418.73
  5. Step 5: Solve for x
    x = 1,465,418.73/1,781.31
  6. Step 6: Final answer
    x = 822.66

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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.