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Finding the Fourth Proportional to 2,144.14, 3,216.17 and 683.27

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Solution

The fourth proportional to 2,144.14, 3,216.17 and 683.27 is: 1,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.14 : 3,216.17 = 683.27 : x
  2. Step 2: Convert to fraction form
    2,144.14/3,216.17 = 683.27/x
  3. Step 3: Cross multiply
    2,144.14x = 3,216.17 × 683.27
  4. Step 4: Simplify right side
    2,144.14x = 2,197,499.56
  5. Step 5: Solve for x
    x = 2,197,499.56/2,144.14
  6. Step 6: Final answer
    x = 1,024.89

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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.