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Finding the Fourth Proportional to 2,882.36, 3,972.54 and 2,324.60

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Solution

The fourth proportional to 2,882.36, 3,972.54 and 2,324.60 is: 3,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.36 : 3,972.54 = 2,324.60 : x
  2. Step 2: Convert to fraction form
    2,882.36/3,972.54 = 2,324.60/x
  3. Step 3: Cross multiply
    2,882.36x = 3,972.54 × 2,324.60
  4. Step 4: Simplify right side
    2,882.36x = 9,234,566.48
  5. Step 5: Solve for x
    x = 9,234,566.48/2,882.36
  6. Step 6: Final answer
    x = 3,203.82

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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.