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Finding the Fourth Proportional to 3,442.70, 5,166.39 and 2,270.18

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Solution

The fourth proportional to 3,442.70, 5,166.39 and 2,270.18 is: 3,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.70 : 5,166.39 = 2,270.18 : x
  2. Step 2: Convert to fraction form
    3,442.70/5,166.39 = 2,270.18/x
  3. Step 3: Cross multiply
    3,442.70x = 5,166.39 × 2,270.18
  4. Step 4: Simplify right side
    3,442.70x = 11,728,635.25
  5. Step 5: Solve for x
    x = 11,728,635.25/3,442.70
  6. Step 6: Final answer
    x = 3,406.81

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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.