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Finding the Fourth Proportional to 2,760.54, 3,809.67 and 1,581.78

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Solution

The fourth proportional to 2,760.54, 3,809.67 and 1,581.78 is: 2,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.54 : 3,809.67 = 1,581.78 : x
  2. Step 2: Convert to fraction form
    2,760.54/3,809.67 = 1,581.78/x
  3. Step 3: Cross multiply
    2,760.54x = 3,809.67 × 1,581.78
  4. Step 4: Simplify right side
    2,760.54x = 6,026,059.81
  5. Step 5: Solve for x
    x = 6,026,059.81/2,760.54
  6. Step 6: Final answer
    x = 2,182.93

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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.