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Finding the Fourth Proportional to 1,978.12, 2,963.85 and 1,195.74

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Solution

The fourth proportional to 1,978.12, 2,963.85 and 1,195.74 is: 1,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.12 : 2,963.85 = 1,195.74 : x
  2. Step 2: Convert to fraction form
    1,978.12/2,963.85 = 1,195.74/x
  3. Step 3: Cross multiply
    1,978.12x = 2,963.85 × 1,195.74
  4. Step 4: Simplify right side
    1,978.12x = 3,543,993.82
  5. Step 5: Solve for x
    x = 3,543,993.82/1,978.12
  6. Step 6: Final answer
    x = 1,791.59

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