Home / 2,206.86-3,310.30-746.02

Finding the Fourth Proportional to 2,206.86, 3,310.30 and 746.02

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Solution

The fourth proportional to 2,206.86, 3,310.30 and 746.02 is: 1,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.86 : 3,310.30 = 746.02 : x
  2. Step 2: Convert to fraction form
    2,206.86/3,310.30 = 746.02/x
  3. Step 3: Cross multiply
    2,206.86x = 3,310.30 × 746.02
  4. Step 4: Simplify right side
    2,206.86x = 2,469,550.01
  5. Step 5: Solve for x
    x = 2,469,550.01/2,206.86
  6. Step 6: Final answer
    x = 1,119.03

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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.