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Finding the Fourth Proportional to 1,747.73, 2,621.60 and 449.20

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Solution

The fourth proportional to 1,747.73, 2,621.60 and 449.20 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.73 : 2,621.60 = 449.20 : x
  2. Step 2: Convert to fraction form
    1,747.73/2,621.60 = 449.20/x
  3. Step 3: Cross multiply
    1,747.73x = 2,621.60 × 449.20
  4. Step 4: Simplify right side
    1,747.73x = 1,177,625.44
  5. Step 5: Solve for x
    x = 1,177,625.44/1,747.73
  6. Step 6: Final answer
    x = 673.80

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1.5x scale

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.