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Finding the Fourth Proportional to 1,648.80, 2,474.82 and 1,255.14

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Solution

The fourth proportional to 1,648.80, 2,474.82 and 1,255.14 is: 1,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.80 : 2,474.82 = 1,255.14 : x
  2. Step 2: Convert to fraction form
    1,648.80/2,474.82 = 1,255.14/x
  3. Step 3: Cross multiply
    1,648.80x = 2,474.82 × 1,255.14
  4. Step 4: Simplify right side
    1,648.80x = 3,106,245.57
  5. Step 5: Solve for x
    x = 3,106,245.57/1,648.80
  6. Step 6: Final answer
    x = 1,883.94

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