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Finding the Fourth Proportional to 2,200, 3,302.22 and 967.96

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Solution

The fourth proportional to 2,200, 3,302.22 and 967.96 is: 1,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,302.22 = 967.96 : x
  2. Step 2: Convert to fraction form
    2,200/3,302.22 = 967.96/x
  3. Step 3: Cross multiply
    2,200x = 3,302.22 × 967.96
  4. Step 4: Simplify right side
    2,200x = 3,196,416.87
  5. Step 5: Solve for x
    x = 3,196,416.87/2,200
  6. Step 6: Final answer
    x = 1,452.92

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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.