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Finding the Fourth Proportional to 3,229.28, 4,846.80 and 2,204

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Solution

The fourth proportional to 3,229.28, 4,846.80 and 2,204 is: 3,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.28 : 4,846.80 = 2,204 : x
  2. Step 2: Convert to fraction form
    3,229.28/4,846.80 = 2,204/x
  3. Step 3: Cross multiply
    3,229.28x = 4,846.80 × 2,204
  4. Step 4: Simplify right side
    3,229.28x = 10,682,347.20
  5. Step 5: Solve for x
    x = 10,682,347.20/3,229.28
  6. Step 6: Final answer
    x = 3,307.97

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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.