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Finding the Fourth Proportional to 2,208.64, 3,311.87 and 1,284.43

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Solution

The fourth proportional to 2,208.64, 3,311.87 and 1,284.43 is: 1,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.64 : 3,311.87 = 1,284.43 : x
  2. Step 2: Convert to fraction form
    2,208.64/3,311.87 = 1,284.43/x
  3. Step 3: Cross multiply
    2,208.64x = 3,311.87 × 1,284.43
  4. Step 4: Simplify right side
    2,208.64x = 4,253,865.18
  5. Step 5: Solve for x
    x = 4,253,865.18/2,208.64
  6. Step 6: Final answer
    x = 1,926.01

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