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Finding the Fourth Proportional to 3,241.76, 4,471.81 and 2,192.00

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Solution

The fourth proportional to 3,241.76, 4,471.81 and 2,192.00 is: 3,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.76 : 4,471.81 = 2,192.00 : x
  2. Step 2: Convert to fraction form
    3,241.76/4,471.81 = 2,192.00/x
  3. Step 3: Cross multiply
    3,241.76x = 4,471.81 × 2,192.00
  4. Step 4: Simplify right side
    3,241.76x = 9,802,179.68
  5. Step 5: Solve for x
    x = 9,802,179.68/3,241.76
  6. Step 6: Final answer
    x = 3,023.73

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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.