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Finding the Fourth Proportional to 1,192.56, 1,785.99 and 1,170.69

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Solution

The fourth proportional to 1,192.56, 1,785.99 and 1,170.69 is: 1,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.56 : 1,785.99 = 1,170.69 : x
  2. Step 2: Convert to fraction form
    1,192.56/1,785.99 = 1,170.69/x
  3. Step 3: Cross multiply
    1,192.56x = 1,785.99 × 1,170.69
  4. Step 4: Simplify right side
    1,192.56x = 2,090,840.63
  5. Step 5: Solve for x
    x = 2,090,840.63/1,192.56
  6. Step 6: Final answer
    x = 1,753.24

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