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Finding the Fourth Proportional to 2,561.92, 3,844.80 and 2,055.04

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Solution

The fourth proportional to 2,561.92, 3,844.80 and 2,055.04 is: 3,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.92 : 3,844.80 = 2,055.04 : x
  2. Step 2: Convert to fraction form
    2,561.92/3,844.80 = 2,055.04/x
  3. Step 3: Cross multiply
    2,561.92x = 3,844.80 × 2,055.04
  4. Step 4: Simplify right side
    2,561.92x = 7,901,217.79
  5. Step 5: Solve for x
    x = 7,901,217.79/2,561.92
  6. Step 6: Final answer
    x = 3,084.10

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