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Finding the Fourth Proportional to 2,938, 4,406.04 and 2,204.56

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Solution

The fourth proportional to 2,938, 4,406.04 and 2,204.56 is: 3,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938 : 4,406.04 = 2,204.56 : x
  2. Step 2: Convert to fraction form
    2,938/4,406.04 = 2,204.56/x
  3. Step 3: Cross multiply
    2,938x = 4,406.04 × 2,204.56
  4. Step 4: Simplify right side
    2,938x = 9,713,379.54
  5. Step 5: Solve for x
    x = 9,713,379.54/2,938
  6. Step 6: Final answer
    x = 3,306.12

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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.