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Finding the Fourth Proportional to 2,944.92, 4,064.56 and 1,950.24

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Solution

The fourth proportional to 2,944.92, 4,064.56 and 1,950.24 is: 2,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.92 : 4,064.56 = 1,950.24 : x
  2. Step 2: Convert to fraction form
    2,944.92/4,064.56 = 1,950.24/x
  3. Step 3: Cross multiply
    2,944.92x = 4,064.56 × 1,950.24
  4. Step 4: Simplify right side
    2,944.92x = 7,926,867.49
  5. Step 5: Solve for x
    x = 7,926,867.49/2,944.92
  6. Step 6: Final answer
    x = 2,691.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.