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Finding the Fourth Proportional to 1,871.82, 2,809.82 and 1,092.74

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Solution

The fourth proportional to 1,871.82, 2,809.82 and 1,092.74 is: 1,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.82 : 2,809.82 = 1,092.74 : x
  2. Step 2: Convert to fraction form
    1,871.82/2,809.82 = 1,092.74/x
  3. Step 3: Cross multiply
    1,871.82x = 2,809.82 × 1,092.74
  4. Step 4: Simplify right side
    1,871.82x = 3,070,391.39
  5. Step 5: Solve for x
    x = 3,070,391.39/1,871.82
  6. Step 6: Final answer
    x = 1,640.32

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