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Finding the Fourth Proportional to 2,105.32, 3,157.94 and 644.43

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Solution

The fourth proportional to 2,105.32, 3,157.94 and 644.43 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.32 : 3,157.94 = 644.43 : x
  2. Step 2: Convert to fraction form
    2,105.32/3,157.94 = 644.43/x
  3. Step 3: Cross multiply
    2,105.32x = 3,157.94 × 644.43
  4. Step 4: Simplify right side
    2,105.32x = 2,035,072.22
  5. Step 5: Solve for x
    x = 2,035,072.22/2,105.32
  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.