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Finding the Fourth Proportional to 2,944.26, 4,416.39 and 997.83

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Solution

The fourth proportional to 2,944.26, 4,416.39 and 997.83 is: 1,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.26 : 4,416.39 = 997.83 : x
  2. Step 2: Convert to fraction form
    2,944.26/4,416.39 = 997.83/x
  3. Step 3: Cross multiply
    2,944.26x = 4,416.39 × 997.83
  4. Step 4: Simplify right side
    2,944.26x = 4,406,806.43
  5. Step 5: Solve for x
    x = 4,406,806.43/2,944.26
  6. Step 6: Final answer
    x = 1,496.75

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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.