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Finding the Fourth Proportional to 3,231.68, 4,847.24 and 1,999.28

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Solution

The fourth proportional to 3,231.68, 4,847.24 and 1,999.28 is: 2,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.68 : 4,847.24 = 1,999.28 : x
  2. Step 2: Convert to fraction form
    3,231.68/4,847.24 = 1,999.28/x
  3. Step 3: Cross multiply
    3,231.68x = 4,847.24 × 1,999.28
  4. Step 4: Simplify right side
    3,231.68x = 9,690,989.99
  5. Step 5: Solve for x
    x = 9,690,989.99/3,231.68
  6. Step 6: Final answer
    x = 2,998.75

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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.