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Finding the Fourth Proportional to 1,192.56, 1,786.37 and 1,177.98

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Solution

The fourth proportional to 1,192.56, 1,786.37 and 1,177.98 is: 1,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.56 : 1,786.37 = 1,177.98 : x
  2. Step 2: Convert to fraction form
    1,192.56/1,786.37 = 1,177.98/x
  3. Step 3: Cross multiply
    1,192.56x = 1,786.37 × 1,177.98
  4. Step 4: Simplify right side
    1,192.56x = 2,104,302.24
  5. Step 5: Solve for x
    x = 2,104,302.24/1,192.56
  6. Step 6: Final answer
    x = 1,764.53

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