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Finding the Fourth Proportional to 1,192.73, 1,786.32 and 1,159.94

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Solution

The fourth proportional to 1,192.73, 1,786.32 and 1,159.94 is: 1,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.73 : 1,786.32 = 1,159.94 : x
  2. Step 2: Convert to fraction form
    1,192.73/1,786.32 = 1,159.94/x
  3. Step 3: Cross multiply
    1,192.73x = 1,786.32 × 1,159.94
  4. Step 4: Simplify right side
    1,192.73x = 2,072,024.02
  5. Step 5: Solve for x
    x = 2,072,024.02/1,192.73
  6. Step 6: Final answer
    x = 1,737.21

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