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Finding the Fourth Proportional to 3,198.90, 4,797.56 and 1,224.12

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Solution

The fourth proportional to 3,198.90, 4,797.56 and 1,224.12 is: 1,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.90 : 4,797.56 = 1,224.12 : x
  2. Step 2: Convert to fraction form
    3,198.90/4,797.56 = 1,224.12/x
  3. Step 3: Cross multiply
    3,198.90x = 4,797.56 × 1,224.12
  4. Step 4: Simplify right side
    3,198.90x = 5,872,789.15
  5. Step 5: Solve for x
    x = 5,872,789.15/3,198.90
  6. Step 6: Final answer
    x = 1,835.88

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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.