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Finding the Fourth Proportional to 2,584.76, 3,871.78 and 1,264.54

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Solution

The fourth proportional to 2,584.76, 3,871.78 and 1,264.54 is: 1,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.76 : 3,871.78 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    2,584.76/3,871.78 = 1,264.54/x
  3. Step 3: Cross multiply
    2,584.76x = 3,871.78 × 1,264.54
  4. Step 4: Simplify right side
    2,584.76x = 4,896,020.68
  5. Step 5: Solve for x
    x = 4,896,020.68/2,584.76
  6. Step 6: Final answer
    x = 1,894.19

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