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Finding the Fourth Proportional to 1,166.26, 1,749.86 and 1,147.83

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Solution

The fourth proportional to 1,166.26, 1,749.86 and 1,147.83 is: 1,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.26 : 1,749.86 = 1,147.83 : x
  2. Step 2: Convert to fraction form
    1,166.26/1,749.86 = 1,147.83/x
  3. Step 3: Cross multiply
    1,166.26x = 1,749.86 × 1,147.83
  4. Step 4: Simplify right side
    1,166.26x = 2,008,536.06
  5. Step 5: Solve for x
    x = 2,008,536.06/1,166.26
  6. Step 6: Final answer
    x = 1,722.20

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