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Finding the Fourth Proportional to 1,581.28, 2,367.42 and 839.20

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Solution

The fourth proportional to 1,581.28, 2,367.42 and 839.20 is: 1,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.28 : 2,367.42 = 839.20 : x
  2. Step 2: Convert to fraction form
    1,581.28/2,367.42 = 839.20/x
  3. Step 3: Cross multiply
    1,581.28x = 2,367.42 × 839.20
  4. Step 4: Simplify right side
    1,581.28x = 1,986,738.86
  5. Step 5: Solve for x
    x = 1,986,738.86/1,581.28
  6. Step 6: Final answer
    x = 1,256.41

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