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Finding the Fourth Proportional to 3,022.70, 4,168.53 and 2,014.98

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Solution

The fourth proportional to 3,022.70, 4,168.53 and 2,014.98 is: 2,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.70 : 4,168.53 = 2,014.98 : x
  2. Step 2: Convert to fraction form
    3,022.70/4,168.53 = 2,014.98/x
  3. Step 3: Cross multiply
    3,022.70x = 4,168.53 × 2,014.98
  4. Step 4: Simplify right side
    3,022.70x = 8,399,504.58
  5. Step 5: Solve for x
    x = 8,399,504.58/3,022.70
  6. Step 6: Final answer
    x = 2,778.81

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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.