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Finding the Fourth Proportional to 2,792.92, 3,851.46 and 2,202.28

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Solution

The fourth proportional to 2,792.92, 3,851.46 and 2,202.28 is: 3,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.92 : 3,851.46 = 2,202.28 : x
  2. Step 2: Convert to fraction form
    2,792.92/3,851.46 = 2,202.28/x
  3. Step 3: Cross multiply
    2,792.92x = 3,851.46 × 2,202.28
  4. Step 4: Simplify right side
    2,792.92x = 8,481,993.33
  5. Step 5: Solve for x
    x = 8,481,993.33/2,792.92
  6. Step 6: Final answer
    x = 3,036.96

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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.