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Finding the Fourth Proportional to 2,627.80, 3,936.90 and 2,138.20

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Solution

The fourth proportional to 2,627.80, 3,936.90 and 2,138.20 is: 3,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.80 : 3,936.90 = 2,138.20 : x
  2. Step 2: Convert to fraction form
    2,627.80/3,936.90 = 2,138.20/x
  3. Step 3: Cross multiply
    2,627.80x = 3,936.90 × 2,138.20
  4. Step 4: Simplify right side
    2,627.80x = 8,417,879.58
  5. Step 5: Solve for x
    x = 8,417,879.58/2,627.80
  6. Step 6: Final answer
    x = 3,203.39

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