Home / 2,078.10-2,857.41-1,991.70

Finding the Fourth Proportional to 2,078.10, 2,857.41 and 1,991.70

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Solution

The fourth proportional to 2,078.10, 2,857.41 and 1,991.70 is: 2,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.10 : 2,857.41 = 1,991.70 : x
  2. Step 2: Convert to fraction form
    2,078.10/2,857.41 = 1,991.70/x
  3. Step 3: Cross multiply
    2,078.10x = 2,857.41 × 1,991.70
  4. Step 4: Simplify right side
    2,078.10x = 5,691,103.50
  5. Step 5: Solve for x
    x = 5,691,103.50/2,078.10
  6. Step 6: Final answer
    x = 2,738.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.