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Finding the Fourth Proportional to 2,204, 3,038 and 2,027.42

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Solution

The fourth proportional to 2,204, 3,038 and 2,027.42 is: 2,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204 : 3,038 = 2,027.42 : x
  2. Step 2: Convert to fraction form
    2,204/3,038 = 2,027.42/x
  3. Step 3: Cross multiply
    2,204x = 3,038 × 2,027.42
  4. Step 4: Simplify right side
    2,204x = 6,159,301.96
  5. Step 5: Solve for x
    x = 6,159,301.96/2,204
  6. Step 6: Final answer
    x = 2,794.60

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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.