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Finding the Fourth Proportional to 2,105.97, 3,158.96 and 645.12

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Solution

The fourth proportional to 2,105.97, 3,158.96 and 645.12 is: 967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.97 : 3,158.96 = 645.12 : x
  2. Step 2: Convert to fraction form
    2,105.97/3,158.96 = 645.12/x
  3. Step 3: Cross multiply
    2,105.97x = 3,158.96 × 645.12
  4. Step 4: Simplify right side
    2,105.97x = 2,037,905.05
  5. Step 5: Solve for x
    x = 2,037,905.05/2,105.97
  6. Step 6: Final answer
    x = 967.68

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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.