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Finding the Fourth Proportional to 3,274.82, 4,906.50 and 2,231.44

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Solution

The fourth proportional to 3,274.82, 4,906.50 and 2,231.44 is: 3,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.82 : 4,906.50 = 2,231.44 : x
  2. Step 2: Convert to fraction form
    3,274.82/4,906.50 = 2,231.44/x
  3. Step 3: Cross multiply
    3,274.82x = 4,906.50 × 2,231.44
  4. Step 4: Simplify right side
    3,274.82x = 10,948,560.36
  5. Step 5: Solve for x
    x = 10,948,560.36/3,274.82
  6. Step 6: Final answer
    x = 3,343.26

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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.