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Finding the Fourth Proportional to 2,109.14, 3,163.85 and 608.09

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Solution

The fourth proportional to 2,109.14, 3,163.85 and 608.09 is: 912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 3,163.85 = 608.09 : x
  2. Step 2: Convert to fraction form
    2,109.14/3,163.85 = 608.09/x
  3. Step 3: Cross multiply
    2,109.14x = 3,163.85 × 608.09
  4. Step 4: Simplify right side
    2,109.14x = 1,923,902.51
  5. Step 5: Solve for x
    x = 1,923,902.51/2,109.14
  6. Step 6: Final answer
    x = 912.18

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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.