Home / 2,305.24-3,440.82-2,142.70

Finding the Fourth Proportional to 2,305.24, 3,440.82 and 2,142.70

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Solution

The fourth proportional to 2,305.24, 3,440.82 and 2,142.70 is: 3,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.24 : 3,440.82 = 2,142.70 : x
  2. Step 2: Convert to fraction form
    2,305.24/3,440.82 = 2,142.70/x
  3. Step 3: Cross multiply
    2,305.24x = 3,440.82 × 2,142.70
  4. Step 4: Simplify right side
    2,305.24x = 7,372,645.01
  5. Step 5: Solve for x
    x = 7,372,645.01/2,305.24
  6. Step 6: Final answer
    x = 3,198.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.