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Finding the Fourth Proportional to 1,166.44, 1,749.66 and 1,095.16

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Solution

The fourth proportional to 1,166.44, 1,749.66 and 1,095.16 is: 1,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.44 : 1,749.66 = 1,095.16 : x
  2. Step 2: Convert to fraction form
    1,166.44/1,749.66 = 1,095.16/x
  3. Step 3: Cross multiply
    1,166.44x = 1,749.66 × 1,095.16
  4. Step 4: Simplify right side
    1,166.44x = 1,916,163.94
  5. Step 5: Solve for x
    x = 1,916,163.94/1,166.44
  6. Step 6: Final answer
    x = 1,642.74

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