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Finding the Fourth Proportional to 2,968.43, 4,452.09 and 1,324.67

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Solution

The fourth proportional to 2,968.43, 4,452.09 and 1,324.67 is: 1,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.43 : 4,452.09 = 1,324.67 : x
  2. Step 2: Convert to fraction form
    2,968.43/4,452.09 = 1,324.67/x
  3. Step 3: Cross multiply
    2,968.43x = 4,452.09 × 1,324.67
  4. Step 4: Simplify right side
    2,968.43x = 5,897,550.06
  5. Step 5: Solve for x
    x = 5,897,550.06/2,968.43
  6. Step 6: Final answer
    x = 1,986.76

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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.