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Finding the Fourth Proportional to 1,789.54, 2,466.97 and 1,256.80

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Solution

The fourth proportional to 1,789.54, 2,466.97 and 1,256.80 is: 1,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.54 : 2,466.97 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    1,789.54/2,466.97 = 1,256.80/x
  3. Step 3: Cross multiply
    1,789.54x = 2,466.97 × 1,256.80
  4. Step 4: Simplify right side
    1,789.54x = 3,100,487.90
  5. Step 5: Solve for x
    x = 3,100,487.90/1,789.54
  6. Step 6: Final answer
    x = 1,732.56

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