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Finding the Fourth Proportional to 1,747.97, 2,621.99 and 449.44

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Solution

The fourth proportional to 1,747.97, 2,621.99 and 449.44 is: 674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.97 : 2,621.99 = 449.44 : x
  2. Step 2: Convert to fraction form
    1,747.97/2,621.99 = 449.44/x
  3. Step 3: Cross multiply
    1,747.97x = 2,621.99 × 449.44
  4. Step 4: Simplify right side
    1,747.97x = 1,178,418.38
  5. Step 5: Solve for x
    x = 1,178,418.38/1,747.97
  6. Step 6: Final answer
    x = 674.16

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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.