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Finding the Fourth Proportional to 2,148.78, 3,221.82 and 1,327.44

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Solution

The fourth proportional to 2,148.78, 3,221.82 and 1,327.44 is: 1,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.78 : 3,221.82 = 1,327.44 : x
  2. Step 2: Convert to fraction form
    2,148.78/3,221.82 = 1,327.44/x
  3. Step 3: Cross multiply
    2,148.78x = 3,221.82 × 1,327.44
  4. Step 4: Simplify right side
    2,148.78x = 4,276,772.74
  5. Step 5: Solve for x
    x = 4,276,772.74/2,148.78
  6. Step 6: Final answer
    x = 1,990.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.