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Finding the Fourth Proportional to 3,120.70, 4,305.24 and 1,942.14

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Solution

The fourth proportional to 3,120.70, 4,305.24 and 1,942.14 is: 2,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.70 : 4,305.24 = 1,942.14 : x
  2. Step 2: Convert to fraction form
    3,120.70/4,305.24 = 1,942.14/x
  3. Step 3: Cross multiply
    3,120.70x = 4,305.24 × 1,942.14
  4. Step 4: Simplify right side
    3,120.70x = 8,361,378.81
  5. Step 5: Solve for x
    x = 8,361,378.81/3,120.70
  6. Step 6: Final answer
    x = 2,679.33

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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.