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Finding the Fourth Proportional to 1,786.37, 2,462.89 and 1,155.78

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Solution

The fourth proportional to 1,786.37, 2,462.89 and 1,155.78 is: 1,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.37 : 2,462.89 = 1,155.78 : x
  2. Step 2: Convert to fraction form
    1,786.37/2,462.89 = 1,155.78/x
  3. Step 3: Cross multiply
    1,786.37x = 2,462.89 × 1,155.78
  4. Step 4: Simplify right side
    1,786.37x = 2,846,559.00
  5. Step 5: Solve for x
    x = 2,846,559.00/1,786.37
  6. Step 6: Final answer
    x = 1,593.49

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