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Finding the Fourth Proportional to 2,243.78, 3,366.24 and 704.78

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Solution

The fourth proportional to 2,243.78, 3,366.24 and 704.78 is: 1,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.78 : 3,366.24 = 704.78 : x
  2. Step 2: Convert to fraction form
    2,243.78/3,366.24 = 704.78/x
  3. Step 3: Cross multiply
    2,243.78x = 3,366.24 × 704.78
  4. Step 4: Simplify right side
    2,243.78x = 2,372,458.63
  5. Step 5: Solve for x
    x = 2,372,458.63/2,243.78
  6. Step 6: Final answer
    x = 1,057.35

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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.