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Finding the Fourth Proportional to 2,105.22, 3,157.82 and 644.32

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Solution

The fourth proportional to 2,105.22, 3,157.82 and 644.32 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.22 : 3,157.82 = 644.32 : x
  2. Step 2: Convert to fraction form
    2,105.22/3,157.82 = 644.32/x
  3. Step 3: Cross multiply
    2,105.22x = 3,157.82 × 644.32
  4. Step 4: Simplify right side
    2,105.22x = 2,034,646.58
  5. Step 5: Solve for x
    x = 2,034,646.58/2,105.22
  6. Step 6: Final answer
    x = 966.48

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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.