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Finding the Fourth Proportional to 2,974.17, 4,453.04 and 2,241.52

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Solution

The fourth proportional to 2,974.17, 4,453.04 and 2,241.52 is: 3,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.17 : 4,453.04 = 2,241.52 : x
  2. Step 2: Convert to fraction form
    2,974.17/4,453.04 = 2,241.52/x
  3. Step 3: Cross multiply
    2,974.17x = 4,453.04 × 2,241.52
  4. Step 4: Simplify right side
    2,974.17x = 9,981,583.75
  5. Step 5: Solve for x
    x = 9,981,583.75/2,974.17
  6. Step 6: Final answer
    x = 3,356.09

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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.