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Finding the Fourth Proportional to 2,182.81, 3,274.17 and 622.82

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Solution

The fourth proportional to 2,182.81, 3,274.17 and 622.82 is: 934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.81 : 3,274.17 = 622.82 : x
  2. Step 2: Convert to fraction form
    2,182.81/3,274.17 = 622.82/x
  3. Step 3: Cross multiply
    2,182.81x = 3,274.17 × 622.82
  4. Step 4: Simplify right side
    2,182.81x = 2,039,218.56
  5. Step 5: Solve for x
    x = 2,039,218.56/2,182.81
  6. Step 6: Final answer
    x = 934.22

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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.