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Finding the Fourth Proportional to 3,112.68, 4,669.80 and 1,164.90

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Solution

The fourth proportional to 3,112.68, 4,669.80 and 1,164.90 is: 1,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,669.80 = 1,164.90 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,669.80 = 1,164.90/x
  3. Step 3: Cross multiply
    3,112.68x = 4,669.80 × 1,164.90
  4. Step 4: Simplify right side
    3,112.68x = 5,439,850.02
  5. Step 5: Solve for x
    x = 5,439,850.02/3,112.68
  6. Step 6: Final answer
    x = 1,747.64

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