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Finding the Fourth Proportional to 2,183.28, 3,274.82 and 539.84

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Solution

The fourth proportional to 2,183.28, 3,274.82 and 539.84 is: 809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.28 : 3,274.82 = 539.84 : x
  2. Step 2: Convert to fraction form
    2,183.28/3,274.82 = 539.84/x
  3. Step 3: Cross multiply
    2,183.28x = 3,274.82 × 539.84
  4. Step 4: Simplify right side
    2,183.28x = 1,767,878.83
  5. Step 5: Solve for x
    x = 1,767,878.83/2,183.28
  6. Step 6: Final answer
    x = 809.74

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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.