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Finding the Fourth Proportional to 2,568.84, 3,546.36 and 1,978.08

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Solution

The fourth proportional to 2,568.84, 3,546.36 and 1,978.08 is: 2,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.84 : 3,546.36 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    2,568.84/3,546.36 = 1,978.08/x
  3. Step 3: Cross multiply
    2,568.84x = 3,546.36 × 1,978.08
  4. Step 4: Simplify right side
    2,568.84x = 7,014,983.79
  5. Step 5: Solve for x
    x = 7,014,983.79/2,568.84
  6. Step 6: Final answer
    x = 2,730.80

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