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Finding the Fourth Proportional to 1,199.73, 1,796.82 and 1,166.94

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Solution

The fourth proportional to 1,199.73, 1,796.82 and 1,166.94 is: 1,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.73 : 1,796.82 = 1,166.94 : x
  2. Step 2: Convert to fraction form
    1,199.73/1,796.82 = 1,166.94/x
  3. Step 3: Cross multiply
    1,199.73x = 1,796.82 × 1,166.94
  4. Step 4: Simplify right side
    1,199.73x = 2,096,781.13
  5. Step 5: Solve for x
    x = 2,096,781.13/1,199.73
  6. Step 6: Final answer
    x = 1,747.71

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