Home / 2,972.40-4,105.20-1,982.22

Finding the Fourth Proportional to 2,972.40, 4,105.20 and 1,982.22

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Solution

The fourth proportional to 2,972.40, 4,105.20 and 1,982.22 is: 2,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.40 : 4,105.20 = 1,982.22 : x
  2. Step 2: Convert to fraction form
    2,972.40/4,105.20 = 1,982.22/x
  3. Step 3: Cross multiply
    2,972.40x = 4,105.20 × 1,982.22
  4. Step 4: Simplify right side
    2,972.40x = 8,137,409.54
  5. Step 5: Solve for x
    x = 8,137,409.54/2,972.40
  6. Step 6: Final answer
    x = 2,737.66

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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.