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Finding the Fourth Proportional to 2,772.92, 3,824.46 and 2,027.52

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Solution

The fourth proportional to 2,772.92, 3,824.46 and 2,027.52 is: 2,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.92 : 3,824.46 = 2,027.52 : x
  2. Step 2: Convert to fraction form
    2,772.92/3,824.46 = 2,027.52/x
  3. Step 3: Cross multiply
    2,772.92x = 3,824.46 × 2,027.52
  4. Step 4: Simplify right side
    2,772.92x = 7,754,169.14
  5. Step 5: Solve for x
    x = 7,754,169.14/2,772.92
  6. Step 6: Final answer
    x = 2,796.40

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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.