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Finding the Fourth Proportional to 2,399.28, 3,597.72 and 1,166.76

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Solution

The fourth proportional to 2,399.28, 3,597.72 and 1,166.76 is: 1,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.28 : 3,597.72 = 1,166.76 : x
  2. Step 2: Convert to fraction form
    2,399.28/3,597.72 = 1,166.76/x
  3. Step 3: Cross multiply
    2,399.28x = 3,597.72 × 1,166.76
  4. Step 4: Simplify right side
    2,399.28x = 4,197,675.79
  5. Step 5: Solve for x
    x = 4,197,675.79/2,399.28
  6. Step 6: Final answer
    x = 1,749.56

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