Home / 2,974.89-4,107.50-1,982.24

Finding the Fourth Proportional to 2,974.89, 4,107.50 and 1,982.24

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Solution

The fourth proportional to 2,974.89, 4,107.50 and 1,982.24 is: 2,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.89 : 4,107.50 = 1,982.24 : x
  2. Step 2: Convert to fraction form
    2,974.89/4,107.50 = 1,982.24/x
  3. Step 3: Cross multiply
    2,974.89x = 4,107.50 × 1,982.24
  4. Step 4: Simplify right side
    2,974.89x = 8,142,020.35
  5. Step 5: Solve for x
    x = 8,142,020.35/2,974.89
  6. Step 6: Final answer
    x = 2,736.91

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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.