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Finding the Fourth Proportional to 3,183.99, 4,772.34 and 1,334.76

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Solution

The fourth proportional to 3,183.99, 4,772.34 and 1,334.76 is: 2,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.99 : 4,772.34 = 1,334.76 : x
  2. Step 2: Convert to fraction form
    3,183.99/4,772.34 = 1,334.76/x
  3. Step 3: Cross multiply
    3,183.99x = 4,772.34 × 1,334.76
  4. Step 4: Simplify right side
    3,183.99x = 6,369,928.54
  5. Step 5: Solve for x
    x = 6,369,928.54/3,183.99
  6. Step 6: Final answer
    x = 2,000.61

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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.