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Finding the Fourth Proportional to 1,979.09, 2,969.64 and 809.95

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Solution

The fourth proportional to 1,979.09, 2,969.64 and 809.95 is: 1,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.09 : 2,969.64 = 809.95 : x
  2. Step 2: Convert to fraction form
    1,979.09/2,969.64 = 809.95/x
  3. Step 3: Cross multiply
    1,979.09x = 2,969.64 × 809.95
  4. Step 4: Simplify right side
    1,979.09x = 2,405,255.87
  5. Step 5: Solve for x
    x = 2,405,255.87/1,979.09
  6. Step 6: Final answer
    x = 1,215.34

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