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Finding the Fourth Proportional to 2,584.96, 3,872.48 and 2,176.64

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Solution

The fourth proportional to 2,584.96, 3,872.48 and 2,176.64 is: 3,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.96 : 3,872.48 = 2,176.64 : x
  2. Step 2: Convert to fraction form
    2,584.96/3,872.48 = 2,176.64/x
  3. Step 3: Cross multiply
    2,584.96x = 3,872.48 × 2,176.64
  4. Step 4: Simplify right side
    2,584.96x = 8,428,994.87
  5. Step 5: Solve for x
    x = 8,428,994.87/2,584.96
  6. Step 6: Final answer
    x = 3,260.78

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