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Finding the Fourth Proportional to 2,797.82, 4,197.27 and 949.25

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Solution

The fourth proportional to 2,797.82, 4,197.27 and 949.25 is: 1,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.82 : 4,197.27 = 949.25 : x
  2. Step 2: Convert to fraction form
    2,797.82/4,197.27 = 949.25/x
  3. Step 3: Cross multiply
    2,797.82x = 4,197.27 × 949.25
  4. Step 4: Simplify right side
    2,797.82x = 3,984,258.55
  5. Step 5: Solve for x
    x = 3,984,258.55/2,797.82
  6. Step 6: Final answer
    x = 1,424.06

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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.