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Finding the Fourth Proportional to 2,399.72, 3,599.87 and 1,166.09

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Solution

The fourth proportional to 2,399.72, 3,599.87 and 1,166.09 is: 1,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.72 : 3,599.87 = 1,166.09 : x
  2. Step 2: Convert to fraction form
    2,399.72/3,599.87 = 1,166.09/x
  3. Step 3: Cross multiply
    2,399.72x = 3,599.87 × 1,166.09
  4. Step 4: Simplify right side
    2,399.72x = 4,197,748.58
  5. Step 5: Solve for x
    x = 4,197,748.58/2,399.72
  6. Step 6: Final answer
    x = 1,749.27

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