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Finding the Fourth Proportional to 1,273.14, 1,906.47 and 1,166.22

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Solution

The fourth proportional to 1,273.14, 1,906.47 and 1,166.22 is: 1,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.14 : 1,906.47 = 1,166.22 : x
  2. Step 2: Convert to fraction form
    1,273.14/1,906.47 = 1,166.22/x
  3. Step 3: Cross multiply
    1,273.14x = 1,906.47 × 1,166.22
  4. Step 4: Simplify right side
    1,273.14x = 2,223,363.44
  5. Step 5: Solve for x
    x = 2,223,363.44/1,273.14
  6. Step 6: Final answer
    x = 1,746.36

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