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Finding the Fourth Proportional to 2,968.37, 4,452.09 and 1,213.31

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Solution

The fourth proportional to 2,968.37, 4,452.09 and 1,213.31 is: 1,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.37 : 4,452.09 = 1,213.31 : x
  2. Step 2: Convert to fraction form
    2,968.37/4,452.09 = 1,213.31/x
  3. Step 3: Cross multiply
    2,968.37x = 4,452.09 × 1,213.31
  4. Step 4: Simplify right side
    2,968.37x = 5,401,743.06
  5. Step 5: Solve for x
    x = 5,401,743.06/2,968.37
  6. Step 6: Final answer
    x = 1,819.77

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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.