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Finding the Fourth Proportional to 3,049.52, 4,208.76 and 1,723.55

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Solution

The fourth proportional to 3,049.52, 4,208.76 and 1,723.55 is: 2,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.52 : 4,208.76 = 1,723.55 : x
  2. Step 2: Convert to fraction form
    3,049.52/4,208.76 = 1,723.55/x
  3. Step 3: Cross multiply
    3,049.52x = 4,208.76 × 1,723.55
  4. Step 4: Simplify right side
    3,049.52x = 7,253,987.25
  5. Step 5: Solve for x
    x = 7,253,987.25/3,049.52
  6. Step 6: Final answer
    x = 2,378.73

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.