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Finding the Fourth Proportional to 2,322.68, 3,203.42 and 2,042.33

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Solution

The fourth proportional to 2,322.68, 3,203.42 and 2,042.33 is: 2,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.68 : 3,203.42 = 2,042.33 : x
  2. Step 2: Convert to fraction form
    2,322.68/3,203.42 = 2,042.33/x
  3. Step 3: Cross multiply
    2,322.68x = 3,203.42 × 2,042.33
  4. Step 4: Simplify right side
    2,322.68x = 6,542,414.54
  5. Step 5: Solve for x
    x = 6,542,414.54/2,322.68
  6. Step 6: Final answer
    x = 2,816.76

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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.