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Finding the Fourth Proportional to 2,853.92, 3,932.88 and 2,024.48

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Solution

The fourth proportional to 2,853.92, 3,932.88 and 2,024.48 is: 2,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.92 : 3,932.88 = 2,024.48 : x
  2. Step 2: Convert to fraction form
    2,853.92/3,932.88 = 2,024.48/x
  3. Step 3: Cross multiply
    2,853.92x = 3,932.88 × 2,024.48
  4. Step 4: Simplify right side
    2,853.92x = 7,962,036.90
  5. Step 5: Solve for x
    x = 7,962,036.90/2,853.92
  6. Step 6: Final answer
    x = 2,789.86

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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.