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Finding the Fourth Proportional to 2,399.76, 3,596.67 and 1,166.16

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Solution

The fourth proportional to 2,399.76, 3,596.67 and 1,166.16 is: 1,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.76 : 3,596.67 = 1,166.16 : x
  2. Step 2: Convert to fraction form
    2,399.76/3,596.67 = 1,166.16/x
  3. Step 3: Cross multiply
    2,399.76x = 3,596.67 × 1,166.16
  4. Step 4: Simplify right side
    2,399.76x = 4,194,292.69
  5. Step 5: Solve for x
    x = 4,194,292.69/2,399.76
  6. Step 6: Final answer
    x = 1,747.80

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