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Finding the Fourth Proportional to 1,173.82, 1,761.60 and 1,102.12

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Solution

The fourth proportional to 1,173.82, 1,761.60 and 1,102.12 is: 1,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.82 : 1,761.60 = 1,102.12 : x
  2. Step 2: Convert to fraction form
    1,173.82/1,761.60 = 1,102.12/x
  3. Step 3: Cross multiply
    1,173.82x = 1,761.60 × 1,102.12
  4. Step 4: Simplify right side
    1,173.82x = 1,941,494.59
  5. Step 5: Solve for x
    x = 1,941,494.59/1,173.82
  6. Step 6: Final answer
    x = 1,654.00

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