Home / 2,738.28-4,107.75-790.50

Finding the Fourth Proportional to 2,738.28, 4,107.75 and 790.50

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Solution

The fourth proportional to 2,738.28, 4,107.75 and 790.50 is: 1,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.28 : 4,107.75 = 790.50 : x
  2. Step 2: Convert to fraction form
    2,738.28/4,107.75 = 790.50/x
  3. Step 3: Cross multiply
    2,738.28x = 4,107.75 × 790.50
  4. Step 4: Simplify right side
    2,738.28x = 3,247,176.38
  5. Step 5: Solve for x
    x = 3,247,176.38/2,738.28
  6. Step 6: Final answer
    x = 1,185.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.