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Finding the Fourth Proportional to 2,109.43, 3,163.34 and 842.59

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Solution

The fourth proportional to 2,109.43, 3,163.34 and 842.59 is: 1,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.43 : 3,163.34 = 842.59 : x
  2. Step 2: Convert to fraction form
    2,109.43/3,163.34 = 842.59/x
  3. Step 3: Cross multiply
    2,109.43x = 3,163.34 × 842.59
  4. Step 4: Simplify right side
    2,109.43x = 2,665,378.62
  5. Step 5: Solve for x
    x = 2,665,378.62/2,109.43
  6. Step 6: Final answer
    x = 1,263.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.