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Finding the Fourth Proportional to 2,419.38, 3,629.07 and 2,144.79

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Solution

The fourth proportional to 2,419.38, 3,629.07 and 2,144.79 is: 3,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.38 : 3,629.07 = 2,144.79 : x
  2. Step 2: Convert to fraction form
    2,419.38/3,629.07 = 2,144.79/x
  3. Step 3: Cross multiply
    2,419.38x = 3,629.07 × 2,144.79
  4. Step 4: Simplify right side
    2,419.38x = 7,783,593.05
  5. Step 5: Solve for x
    x = 7,783,593.05/2,419.38
  6. Step 6: Final answer
    x = 3,217.19

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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.