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Finding the Fourth Proportional to 2,119.82, 3,179.12 and 1,298.48

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Solution

The fourth proportional to 2,119.82, 3,179.12 and 1,298.48 is: 1,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.82 : 3,179.12 = 1,298.48 : x
  2. Step 2: Convert to fraction form
    2,119.82/3,179.12 = 1,298.48/x
  3. Step 3: Cross multiply
    2,119.82x = 3,179.12 × 1,298.48
  4. Step 4: Simplify right side
    2,119.82x = 4,128,001.35
  5. Step 5: Solve for x
    x = 4,128,001.35/2,119.82
  6. Step 6: Final answer
    x = 1,947.34

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