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Finding the Fourth Proportional to 3,109.70, 4,664.55 and 1,161.80

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Solution

The fourth proportional to 3,109.70, 4,664.55 and 1,161.80 is: 1,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.70 : 4,664.55 = 1,161.80 : x
  2. Step 2: Convert to fraction form
    3,109.70/4,664.55 = 1,161.80/x
  3. Step 3: Cross multiply
    3,109.70x = 4,664.55 × 1,161.80
  4. Step 4: Simplify right side
    3,109.70x = 5,419,274.19
  5. Step 5: Solve for x
    x = 5,419,274.19/3,109.70
  6. Step 6: Final answer
    x = 1,742.70

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