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Finding the Fourth Proportional to 2,137.73, 3,200.80 and 1,109.57

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Solution

The fourth proportional to 2,137.73, 3,200.80 and 1,109.57 is: 1,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.73 : 3,200.80 = 1,109.57 : x
  2. Step 2: Convert to fraction form
    2,137.73/3,200.80 = 1,109.57/x
  3. Step 3: Cross multiply
    2,137.73x = 3,200.80 × 1,109.57
  4. Step 4: Simplify right side
    2,137.73x = 3,551,490.10
  5. Step 5: Solve for x
    x = 3,551,490.10/2,137.73
  6. Step 6: Final answer
    x = 1,661.34

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