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Finding the Fourth Proportional to 2,183.14, 3,274.67 and 539.70

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Solution

The fourth proportional to 2,183.14, 3,274.67 and 539.70 is: 809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.14 : 3,274.67 = 539.70 : x
  2. Step 2: Convert to fraction form
    2,183.14/3,274.67 = 539.70/x
  3. Step 3: Cross multiply
    2,183.14x = 3,274.67 × 539.70
  4. Step 4: Simplify right side
    2,183.14x = 1,767,339.40
  5. Step 5: Solve for x
    x = 1,767,339.40/2,183.14
  6. Step 6: Final answer
    x = 809.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.