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Finding the Fourth Proportional to 1,992.65, 2,749.85 and 1,206.69

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Solution

The fourth proportional to 1,992.65, 2,749.85 and 1,206.69 is: 1,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.65 : 2,749.85 = 1,206.69 : x
  2. Step 2: Convert to fraction form
    1,992.65/2,749.85 = 1,206.69/x
  3. Step 3: Cross multiply
    1,992.65x = 2,749.85 × 1,206.69
  4. Step 4: Simplify right side
    1,992.65x = 3,318,210.46
  5. Step 5: Solve for x
    x = 3,318,210.46/1,992.65
  6. Step 6: Final answer
    x = 1,665.23

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