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Finding the Fourth Proportional to 2,201.44, 3,300.97 and 967.43

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Solution

The fourth proportional to 2,201.44, 3,300.97 and 967.43 is: 1,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.44 : 3,300.97 = 967.43 : x
  2. Step 2: Convert to fraction form
    2,201.44/3,300.97 = 967.43/x
  3. Step 3: Cross multiply
    2,201.44x = 3,300.97 × 967.43
  4. Step 4: Simplify right side
    2,201.44x = 3,193,457.41
  5. Step 5: Solve for x
    x = 3,193,457.41/2,201.44
  6. Step 6: Final answer
    x = 1,450.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.