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Finding the Fourth Proportional to 3,109.92, 4,659.36 and 1,645.80

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Solution

The fourth proportional to 3,109.92, 4,659.36 and 1,645.80 is: 2,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,659.36 = 1,645.80 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,659.36 = 1,645.80/x
  3. Step 3: Cross multiply
    3,109.92x = 4,659.36 × 1,645.80
  4. Step 4: Simplify right side
    3,109.92x = 7,668,374.69
  5. Step 5: Solve for x
    x = 7,668,374.69/3,109.92
  6. Step 6: Final answer
    x = 2,465.78

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