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Finding the Fourth Proportional to 2,584.88, 3,872.28 and 2,065.96

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Solution

The fourth proportional to 2,584.88, 3,872.28 and 2,065.96 is: 3,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 3,872.28 = 2,065.96 : x
  2. Step 2: Convert to fraction form
    2,584.88/3,872.28 = 2,065.96/x
  3. Step 3: Cross multiply
    2,584.88x = 3,872.28 × 2,065.96
  4. Step 4: Simplify right side
    2,584.88x = 7,999,975.59
  5. Step 5: Solve for x
    x = 7,999,975.59/2,584.88
  6. Step 6: Final answer
    x = 3,094.91

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