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Finding the Fourth Proportional to 2,109.63, 3,164.49 and 1,012.78

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Solution

The fourth proportional to 2,109.63, 3,164.49 and 1,012.78 is: 1,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.63 : 3,164.49 = 1,012.78 : x
  2. Step 2: Convert to fraction form
    2,109.63/3,164.49 = 1,012.78/x
  3. Step 3: Cross multiply
    2,109.63x = 3,164.49 × 1,012.78
  4. Step 4: Simplify right side
    2,109.63x = 3,204,932.18
  5. Step 5: Solve for x
    x = 3,204,932.18/2,109.63
  6. Step 6: Final answer
    x = 1,519.19

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