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Finding the Fourth Proportional to 2,581.44, 3,871.66 and 1,264.64

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Solution

The fourth proportional to 2,581.44, 3,871.66 and 1,264.64 is: 1,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.44 : 3,871.66 = 1,264.64 : x
  2. Step 2: Convert to fraction form
    2,581.44/3,871.66 = 1,264.64/x
  3. Step 3: Cross multiply
    2,581.44x = 3,871.66 × 1,264.64
  4. Step 4: Simplify right side
    2,581.44x = 4,896,243.29
  5. Step 5: Solve for x
    x = 4,896,243.29/2,581.44
  6. Step 6: Final answer
    x = 1,896.71

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