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Finding the Fourth Proportional to 2,824.78, 4,234.16 and 1,360.84

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Solution

The fourth proportional to 2,824.78, 4,234.16 and 1,360.84 is: 2,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.78 : 4,234.16 = 1,360.84 : x
  2. Step 2: Convert to fraction form
    2,824.78/4,234.16 = 1,360.84/x
  3. Step 3: Cross multiply
    2,824.78x = 4,234.16 × 1,360.84
  4. Step 4: Simplify right side
    2,824.78x = 5,762,014.29
  5. Step 5: Solve for x
    x = 5,762,014.29/2,824.78
  6. Step 6: Final answer
    x = 2,039.81

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