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Finding the Fourth Proportional to 2,212.20, 3,204.45 and 2,212.20

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Solution

The fourth proportional to 2,212.20, 3,204.45 and 2,212.20 is: 3,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.20 : 3,204.45 = 2,212.20 : x
  2. Step 2: Convert to fraction form
    2,212.20/3,204.45 = 2,212.20/x
  3. Step 3: Cross multiply
    2,212.20x = 3,204.45 × 2,212.20
  4. Step 4: Simplify right side
    2,212.20x = 7,088,884.29
  5. Step 5: Solve for x
    x = 7,088,884.29/2,212.20
  6. Step 6: Final answer
    x = 3,204.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.