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Finding the Fourth Proportional to 2,065.28, 3,096.96 and 1,199.84

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Solution

The fourth proportional to 2,065.28, 3,096.96 and 1,199.84 is: 1,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.28 : 3,096.96 = 1,199.84 : x
  2. Step 2: Convert to fraction form
    2,065.28/3,096.96 = 1,199.84/x
  3. Step 3: Cross multiply
    2,065.28x = 3,096.96 × 1,199.84
  4. Step 4: Simplify right side
    2,065.28x = 3,715,856.49
  5. Step 5: Solve for x
    x = 3,715,856.49/2,065.28
  6. Step 6: Final answer
    x = 1,799.20

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