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Finding the Fourth Proportional to 1,999.31, 2,991.68 and 1,177.97

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Solution

The fourth proportional to 1,999.31, 2,991.68 and 1,177.97 is: 1,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.31 : 2,991.68 = 1,177.97 : x
  2. Step 2: Convert to fraction form
    1,999.31/2,991.68 = 1,177.97/x
  3. Step 3: Cross multiply
    1,999.31x = 2,991.68 × 1,177.97
  4. Step 4: Simplify right side
    1,999.31x = 3,524,103.40
  5. Step 5: Solve for x
    x = 3,524,103.40/1,999.31
  6. Step 6: Final answer
    x = 1,762.66

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