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Finding the Fourth Proportional to 3,243.63, 4,471.06 and 2,456.31

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Solution

The fourth proportional to 3,243.63, 4,471.06 and 2,456.31 is: 3,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.63 : 4,471.06 = 2,456.31 : x
  2. Step 2: Convert to fraction form
    3,243.63/4,471.06 = 2,456.31/x
  3. Step 3: Cross multiply
    3,243.63x = 4,471.06 × 2,456.31
  4. Step 4: Simplify right side
    3,243.63x = 10,982,309.39
  5. Step 5: Solve for x
    x = 10,982,309.39/3,243.63
  6. Step 6: Final answer
    x = 3,385.81

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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.