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Finding the Fourth Proportional to 3,202.56, 4,800.64 and 1,904.64

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Solution

The fourth proportional to 3,202.56, 4,800.64 and 1,904.64 is: 2,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,800.64 = 1,904.64 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,800.64 = 1,904.64/x
  3. Step 3: Cross multiply
    3,202.56x = 4,800.64 × 1,904.64
  4. Step 4: Simplify right side
    3,202.56x = 9,143,490.97
  5. Step 5: Solve for x
    x = 9,143,490.97/3,202.56
  6. Step 6: Final answer
    x = 2,855.06

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