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Finding the Fourth Proportional to 2,097.82, 3,147.81 and 1,172.80

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Solution

The fourth proportional to 2,097.82, 3,147.81 and 1,172.80 is: 1,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.82 : 3,147.81 = 1,172.80 : x
  2. Step 2: Convert to fraction form
    2,097.82/3,147.81 = 1,172.80/x
  3. Step 3: Cross multiply
    2,097.82x = 3,147.81 × 1,172.80
  4. Step 4: Simplify right side
    2,097.82x = 3,691,751.57
  5. Step 5: Solve for x
    x = 3,691,751.57/2,097.82
  6. Step 6: Final answer
    x = 1,759.80

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