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Finding the Fourth Proportional to 3,229.68, 4,846.93 and 1,255.62

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Solution

The fourth proportional to 3,229.68, 4,846.93 and 1,255.62 is: 1,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.68 : 4,846.93 = 1,255.62 : x
  2. Step 2: Convert to fraction form
    3,229.68/4,846.93 = 1,255.62/x
  3. Step 3: Cross multiply
    3,229.68x = 4,846.93 × 1,255.62
  4. Step 4: Simplify right side
    3,229.68x = 6,085,902.25
  5. Step 5: Solve for x
    x = 6,085,902.25/3,229.68
  6. Step 6: Final answer
    x = 1,884.37

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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.