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Finding the Fourth Proportional to 1,192.84, 1,789.26 and 1,175.86

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Solution

The fourth proportional to 1,192.84, 1,789.26 and 1,175.86 is: 1,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.84 : 1,789.26 = 1,175.86 : x
  2. Step 2: Convert to fraction form
    1,192.84/1,789.26 = 1,175.86/x
  3. Step 3: Cross multiply
    1,192.84x = 1,789.26 × 1,175.86
  4. Step 4: Simplify right side
    1,192.84x = 2,103,919.26
  5. Step 5: Solve for x
    x = 2,103,919.26/1,192.84
  6. Step 6: Final answer
    x = 1,763.79

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