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Finding the Fourth Proportional to 2,584.28, 3,876.01 and 940.59

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Solution

The fourth proportional to 2,584.28, 3,876.01 and 940.59 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.28 : 3,876.01 = 940.59 : x
  2. Step 2: Convert to fraction form
    2,584.28/3,876.01 = 940.59/x
  3. Step 3: Cross multiply
    2,584.28x = 3,876.01 × 940.59
  4. Step 4: Simplify right side
    2,584.28x = 3,645,736.25
  5. Step 5: Solve for x
    x = 3,645,736.25/2,584.28
  6. Step 6: Final answer
    x = 1,410.74

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