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Finding the Fourth Proportional to 2,944.25, 4,064.74 and 1,950.87

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Solution

The fourth proportional to 2,944.25, 4,064.74 and 1,950.87 is: 2,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.25 : 4,064.74 = 1,950.87 : x
  2. Step 2: Convert to fraction form
    2,944.25/4,064.74 = 1,950.87/x
  3. Step 3: Cross multiply
    2,944.25x = 4,064.74 × 1,950.87
  4. Step 4: Simplify right side
    2,944.25x = 7,929,797.69
  5. Step 5: Solve for x
    x = 7,929,797.69/2,944.25
  6. Step 6: Final answer
    x = 2,693.32

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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.