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Finding the Fourth Proportional to 2,553.82, 3,831.14 and 1,255.40

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Solution

The fourth proportional to 2,553.82, 3,831.14 and 1,255.40 is: 1,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.82 : 3,831.14 = 1,255.40 : x
  2. Step 2: Convert to fraction form
    2,553.82/3,831.14 = 1,255.40/x
  3. Step 3: Cross multiply
    2,553.82x = 3,831.14 × 1,255.40
  4. Step 4: Simplify right side
    2,553.82x = 4,809,613.16
  5. Step 5: Solve for x
    x = 4,809,613.16/2,553.82
  6. Step 6: Final answer
    x = 1,883.30

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