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Finding the Fourth Proportional to 2,112.07, 3,165.90 and 724.93

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Solution

The fourth proportional to 2,112.07, 3,165.90 and 724.93 is: 1,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.07 : 3,165.90 = 724.93 : x
  2. Step 2: Convert to fraction form
    2,112.07/3,165.90 = 724.93/x
  3. Step 3: Cross multiply
    2,112.07x = 3,165.90 × 724.93
  4. Step 4: Simplify right side
    2,112.07x = 2,295,055.89
  5. Step 5: Solve for x
    x = 2,295,055.89/2,112.07
  6. Step 6: Final answer
    x = 1,086.64

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