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Finding the Fourth Proportional to 2,166.78, 3,250.41 and 1,192.38

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Solution

The fourth proportional to 2,166.78, 3,250.41 and 1,192.38 is: 1,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.78 : 3,250.41 = 1,192.38 : x
  2. Step 2: Convert to fraction form
    2,166.78/3,250.41 = 1,192.38/x
  3. Step 3: Cross multiply
    2,166.78x = 3,250.41 × 1,192.38
  4. Step 4: Simplify right side
    2,166.78x = 3,875,723.88
  5. Step 5: Solve for x
    x = 3,875,723.88/2,166.78
  6. Step 6: Final answer
    x = 1,788.70

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