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Finding the Fourth Proportional to 2,182.24, 3,273.41 and 622.38

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Solution

The fourth proportional to 2,182.24, 3,273.41 and 622.38 is: 933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.24 : 3,273.41 = 622.38 : x
  2. Step 2: Convert to fraction form
    2,182.24/3,273.41 = 622.38/x
  3. Step 3: Cross multiply
    2,182.24x = 3,273.41 × 622.38
  4. Step 4: Simplify right side
    2,182.24x = 2,037,318.75
  5. Step 5: Solve for x
    x = 2,037,318.75/2,182.24
  6. Step 6: Final answer
    x = 933.59

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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.