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Finding the Fourth Proportional to 2,627.82, 3,940.70 and 2,109.09

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Solution

The fourth proportional to 2,627.82, 3,940.70 and 2,109.09 is: 3,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.82 : 3,940.70 = 2,109.09 : x
  2. Step 2: Convert to fraction form
    2,627.82/3,940.70 = 2,109.09/x
  3. Step 3: Cross multiply
    2,627.82x = 3,940.70 × 2,109.09
  4. Step 4: Simplify right side
    2,627.82x = 8,311,284.89
  5. Step 5: Solve for x
    x = 8,311,284.89/2,627.82
  6. Step 6: Final answer
    x = 3,162.81

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