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Finding the Fourth Proportional to 3,049.66, 4,571.05 and 1,997.49

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Solution

The fourth proportional to 3,049.66, 4,571.05 and 1,997.49 is: 2,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.66 : 4,571.05 = 1,997.49 : x
  2. Step 2: Convert to fraction form
    3,049.66/4,571.05 = 1,997.49/x
  3. Step 3: Cross multiply
    3,049.66x = 4,571.05 × 1,997.49
  4. Step 4: Simplify right side
    3,049.66x = 9,130,626.66
  5. Step 5: Solve for x
    x = 9,130,626.66/3,049.66
  6. Step 6: Final answer
    x = 2,993.98

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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.