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Finding the Fourth Proportional to 2,016.23, 3,022.79 and 628.76

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Solution

The fourth proportional to 2,016.23, 3,022.79 and 628.76 is: 942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.23 : 3,022.79 = 628.76 : x
  2. Step 2: Convert to fraction form
    2,016.23/3,022.79 = 628.76/x
  3. Step 3: Cross multiply
    2,016.23x = 3,022.79 × 628.76
  4. Step 4: Simplify right side
    2,016.23x = 1,900,613.85
  5. Step 5: Solve for x
    x = 1,900,613.85/2,016.23
  6. Step 6: Final answer
    x = 942.66

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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.