Home / 2,209.05-3,313.86-747.81

Finding the Fourth Proportional to 2,209.05, 3,313.86 and 747.81

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Solution

The fourth proportional to 2,209.05, 3,313.86 and 747.81 is: 1,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.05 : 3,313.86 = 747.81 : x
  2. Step 2: Convert to fraction form
    2,209.05/3,313.86 = 747.81/x
  3. Step 3: Cross multiply
    2,209.05x = 3,313.86 × 747.81
  4. Step 4: Simplify right side
    2,209.05x = 2,478,137.65
  5. Step 5: Solve for x
    x = 2,478,137.65/2,209.05
  6. Step 6: Final answer
    x = 1,121.81

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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.