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Finding the Fourth Proportional to 3,202.56, 4,418.86 and 1,944.27

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Solution

The fourth proportional to 3,202.56, 4,418.86 and 1,944.27 is: 2,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,418.86 = 1,944.27 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,418.86 = 1,944.27/x
  3. Step 3: Cross multiply
    3,202.56x = 4,418.86 × 1,944.27
  4. Step 4: Simplify right side
    3,202.56x = 8,591,465.00
  5. Step 5: Solve for x
    x = 8,591,465.00/3,202.56
  6. Step 6: Final answer
    x = 2,682.69

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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.