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Finding the Fourth Proportional to 1,192.65, 1,788.97 and 1,165.31

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Solution

The fourth proportional to 1,192.65, 1,788.97 and 1,165.31 is: 1,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.65 : 1,788.97 = 1,165.31 : x
  2. Step 2: Convert to fraction form
    1,192.65/1,788.97 = 1,165.31/x
  3. Step 3: Cross multiply
    1,192.65x = 1,788.97 × 1,165.31
  4. Step 4: Simplify right side
    1,192.65x = 2,084,704.63
  5. Step 5: Solve for x
    x = 2,084,704.63/1,192.65
  6. Step 6: Final answer
    x = 1,747.96

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