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Finding the Fourth Proportional to 2,105.33, 3,158.19 and 644.09

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Solution

The fourth proportional to 2,105.33, 3,158.19 and 644.09 is: 966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.33 : 3,158.19 = 644.09 : x
  2. Step 2: Convert to fraction form
    2,105.33/3,158.19 = 644.09/x
  3. Step 3: Cross multiply
    2,105.33x = 3,158.19 × 644.09
  4. Step 4: Simplify right side
    2,105.33x = 2,034,142.81
  5. Step 5: Solve for x
    x = 2,034,142.81/2,105.33
  6. Step 6: Final answer
    x = 966.19

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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.