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Finding the Fourth Proportional to 3,684.92, 5,523.21 and 1,601.78

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Solution

The fourth proportional to 3,684.92, 5,523.21 and 1,601.78 is: 2,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.92 : 5,523.21 = 1,601.78 : x
  2. Step 2: Convert to fraction form
    3,684.92/5,523.21 = 1,601.78/x
  3. Step 3: Cross multiply
    3,684.92x = 5,523.21 × 1,601.78
  4. Step 4: Simplify right side
    3,684.92x = 8,846,939.70
  5. Step 5: Solve for x
    x = 8,846,939.70/3,684.92
  6. Step 6: Final answer
    x = 2,400.85

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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.