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Finding the Fourth Proportional to 1,313.28, 1,965.60 and 1,193.76

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Solution

The fourth proportional to 1,313.28, 1,965.60 and 1,193.76 is: 1,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.28 : 1,965.60 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    1,313.28/1,965.60 = 1,193.76/x
  3. Step 3: Cross multiply
    1,313.28x = 1,965.60 × 1,193.76
  4. Step 4: Simplify right side
    1,313.28x = 2,346,454.66
  5. Step 5: Solve for x
    x = 2,346,454.66/1,313.28
  6. Step 6: Final answer
    x = 1,786.71

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