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Finding the Fourth Proportional to 2,561.04, 3,842.64 and 2,194.92

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Solution

The fourth proportional to 2,561.04, 3,842.64 and 2,194.92 is: 3,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.04 : 3,842.64 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    2,561.04/3,842.64 = 2,194.92/x
  3. Step 3: Cross multiply
    2,561.04x = 3,842.64 × 2,194.92
  4. Step 4: Simplify right side
    2,561.04x = 8,434,287.39
  5. Step 5: Solve for x
    x = 8,434,287.39/2,561.04
  6. Step 6: Final answer
    x = 3,293.31

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