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Finding the Fourth Proportional to 2,243.52, 3,367.10 and 1,204.09

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Solution

The fourth proportional to 2,243.52, 3,367.10 and 1,204.09 is: 1,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.52 : 3,367.10 = 1,204.09 : x
  2. Step 2: Convert to fraction form
    2,243.52/3,367.10 = 1,204.09/x
  3. Step 3: Cross multiply
    2,243.52x = 3,367.10 × 1,204.09
  4. Step 4: Simplify right side
    2,243.52x = 4,054,286.03
  5. Step 5: Solve for x
    x = 4,054,286.03/2,243.52
  6. Step 6: Final answer
    x = 1,807.11

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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.