Home / 2,211.05-3,317.09-824.39

Finding the Fourth Proportional to 2,211.05, 3,317.09 and 824.39

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Solution

The fourth proportional to 2,211.05, 3,317.09 and 824.39 is: 1,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.05 : 3,317.09 = 824.39 : x
  2. Step 2: Convert to fraction form
    2,211.05/3,317.09 = 824.39/x
  3. Step 3: Cross multiply
    2,211.05x = 3,317.09 × 824.39
  4. Step 4: Simplify right side
    2,211.05x = 2,734,575.83
  5. Step 5: Solve for x
    x = 2,734,575.83/2,211.05
  6. Step 6: Final answer
    x = 1,236.78

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1.5x scale

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.