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Finding the Fourth Proportional to 2,760.90, 3,809.24 and 1,581.73

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Solution

The fourth proportional to 2,760.90, 3,809.24 and 1,581.73 is: 2,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.90 : 3,809.24 = 1,581.73 : x
  2. Step 2: Convert to fraction form
    2,760.90/3,809.24 = 1,581.73/x
  3. Step 3: Cross multiply
    2,760.90x = 3,809.24 × 1,581.73
  4. Step 4: Simplify right side
    2,760.90x = 6,025,181.28
  5. Step 5: Solve for x
    x = 6,025,181.28/2,760.90
  6. Step 6: Final answer
    x = 2,182.33

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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.