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Finding the Fourth Proportional to 1,986.27, 2,974.82 and 1,164.30

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Solution

The fourth proportional to 1,986.27, 2,974.82 and 1,164.30 is: 1,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.27 : 2,974.82 = 1,164.30 : x
  2. Step 2: Convert to fraction form
    1,986.27/2,974.82 = 1,164.30/x
  3. Step 3: Cross multiply
    1,986.27x = 2,974.82 × 1,164.30
  4. Step 4: Simplify right side
    1,986.27x = 3,463,577.10
  5. Step 5: Solve for x
    x = 3,463,577.10/1,986.27
  6. Step 6: Final answer
    x = 1,743.76

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