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Finding the Fourth Proportional to 1,185.22, 1,764.83 and 1,172.16

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Solution

The fourth proportional to 1,185.22, 1,764.83 and 1,172.16 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.22 : 1,764.83 = 1,172.16 : x
  2. Step 2: Convert to fraction form
    1,185.22/1,764.83 = 1,172.16/x
  3. Step 3: Cross multiply
    1,185.22x = 1,764.83 × 1,172.16
  4. Step 4: Simplify right side
    1,185.22x = 2,068,663.13
  5. Step 5: Solve for x
    x = 2,068,663.13/1,185.22
  6. Step 6: Final answer
    x = 1,745.38

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