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Finding the Fourth Proportional to 2,110.85, 3,166.65 and 812.22

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Solution

The fourth proportional to 2,110.85, 3,166.65 and 812.22 is: 1,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.85 : 3,166.65 = 812.22 : x
  2. Step 2: Convert to fraction form
    2,110.85/3,166.65 = 812.22/x
  3. Step 3: Cross multiply
    2,110.85x = 3,166.65 × 812.22
  4. Step 4: Simplify right side
    2,110.85x = 2,572,016.46
  5. Step 5: Solve for x
    x = 2,572,016.46/2,110.85
  6. Step 6: Final answer
    x = 1,218.47

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