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Finding the Fourth Proportional to 2,105.73, 3,158.28 and 644.49

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Solution

The fourth proportional to 2,105.73, 3,158.28 and 644.49 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.73 : 3,158.28 = 644.49 : x
  2. Step 2: Convert to fraction form
    2,105.73/3,158.28 = 644.49/x
  3. Step 3: Cross multiply
    2,105.73x = 3,158.28 × 644.49
  4. Step 4: Simplify right side
    2,105.73x = 2,035,464.09
  5. Step 5: Solve for x
    x = 2,035,464.09/2,105.73
  6. Step 6: Final answer
    x = 966.63

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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.