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Finding the Fourth Proportional to 3,241.92, 4,473.12 and 2,194.56

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Solution

The fourth proportional to 3,241.92, 4,473.12 and 2,194.56 is: 3,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.92 : 4,473.12 = 2,194.56 : x
  2. Step 2: Convert to fraction form
    3,241.92/4,473.12 = 2,194.56/x
  3. Step 3: Cross multiply
    3,241.92x = 4,473.12 × 2,194.56
  4. Step 4: Simplify right side
    3,241.92x = 9,816,530.23
  5. Step 5: Solve for x
    x = 9,816,530.23/3,241.92
  6. Step 6: Final answer
    x = 3,028.00

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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.