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Finding the Fourth Proportional to 2,105.73, 3,158.34 and 644.90

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Solution

The fourth proportional to 2,105.73, 3,158.34 and 644.90 is: 967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.73 : 3,158.34 = 644.90 : x
  2. Step 2: Convert to fraction form
    2,105.73/3,158.34 = 644.90/x
  3. Step 3: Cross multiply
    2,105.73x = 3,158.34 × 644.90
  4. Step 4: Simplify right side
    2,105.73x = 2,036,813.47
  5. Step 5: Solve for x
    x = 2,036,813.47/2,105.73
  6. Step 6: Final answer
    x = 967.27

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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.