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Finding the Fourth Proportional to 2,109.80, 3,164.70 and 1,563.05

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Solution

The fourth proportional to 2,109.80, 3,164.70 and 1,563.05 is: 2,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 3,164.70 = 1,563.05 : x
  2. Step 2: Convert to fraction form
    2,109.80/3,164.70 = 1,563.05/x
  3. Step 3: Cross multiply
    2,109.80x = 3,164.70 × 1,563.05
  4. Step 4: Simplify right side
    2,109.80x = 4,946,584.34
  5. Step 5: Solve for x
    x = 4,946,584.34/2,109.80
  6. Step 6: Final answer
    x = 2,344.58

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