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Finding the Fourth Proportional to 3,204, 4,421.54 and 1,962

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Solution

The fourth proportional to 3,204, 4,421.54 and 1,962 is: 2,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 4,421.54 = 1,962 : x
  2. Step 2: Convert to fraction form
    3,204/4,421.54 = 1,962/x
  3. Step 3: Cross multiply
    3,204x = 4,421.54 × 1,962
  4. Step 4: Simplify right side
    3,204x = 8,675,061.48
  5. Step 5: Solve for x
    x = 8,675,061.48/3,204
  6. Step 6: Final answer
    x = 2,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.