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Finding the Fourth Proportional to 2,183.11, 3,274.67 and 539.69

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Solution

The fourth proportional to 2,183.11, 3,274.67 and 539.69 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.11 : 3,274.67 = 539.69 : x
  2. Step 2: Convert to fraction form
    2,183.11/3,274.67 = 539.69/x
  3. Step 3: Cross multiply
    2,183.11x = 3,274.67 × 539.69
  4. Step 4: Simplify right side
    2,183.11x = 1,767,291.63
  5. Step 5: Solve for x
    x = 1,767,291.63/2,183.11
  6. Step 6: Final answer
    x = 809.53

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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.