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Finding the Fourth Proportional to 3,198.56, 4,416.24 and 2,004.02

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Solution

The fourth proportional to 3,198.56, 4,416.24 and 2,004.02 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.56 : 4,416.24 = 2,004.02 : x
  2. Step 2: Convert to fraction form
    3,198.56/4,416.24 = 2,004.02/x
  3. Step 3: Cross multiply
    3,198.56x = 4,416.24 × 2,004.02
  4. Step 4: Simplify right side
    3,198.56x = 8,850,233.28
  5. Step 5: Solve for x
    x = 8,850,233.28/3,198.56
  6. Step 6: Final answer
    x = 2,766.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.