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Finding the Fourth Proportional to 2,418.27, 3,629.03 and 938.67

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Solution

The fourth proportional to 2,418.27, 3,629.03 and 938.67 is: 1,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.27 : 3,629.03 = 938.67 : x
  2. Step 2: Convert to fraction form
    2,418.27/3,629.03 = 938.67/x
  3. Step 3: Cross multiply
    2,418.27x = 3,629.03 × 938.67
  4. Step 4: Simplify right side
    2,418.27x = 3,406,456.90
  5. Step 5: Solve for x
    x = 3,406,456.90/2,418.27
  6. Step 6: Final answer
    x = 1,408.63

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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.