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Finding the Fourth Proportional to 1,902.24, 2,850.84 and 1,206.72

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Solution

The fourth proportional to 1,902.24, 2,850.84 and 1,206.72 is: 1,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.24 : 2,850.84 = 1,206.72 : x
  2. Step 2: Convert to fraction form
    1,902.24/2,850.84 = 1,206.72/x
  3. Step 3: Cross multiply
    1,902.24x = 2,850.84 × 1,206.72
  4. Step 4: Simplify right side
    1,902.24x = 3,440,165.64
  5. Step 5: Solve for x
    x = 3,440,165.64/1,902.24
  6. Step 6: Final answer
    x = 1,808.48

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