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Finding the Fourth Proportional to 2,183.10, 3,273.69 and 643.74

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Solution

The fourth proportional to 2,183.10, 3,273.69 and 643.74 is: 965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.10 : 3,273.69 = 643.74 : x
  2. Step 2: Convert to fraction form
    2,183.10/3,273.69 = 643.74/x
  3. Step 3: Cross multiply
    2,183.10x = 3,273.69 × 643.74
  4. Step 4: Simplify right side
    2,183.10x = 2,107,405.20
  5. Step 5: Solve for x
    x = 2,107,405.20/2,183.10
  6. Step 6: Final answer
    x = 965.33

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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.