Home / 2,211.27-3,317.13-824.29

Finding the Fourth Proportional to 2,211.27, 3,317.13 and 824.29

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Solution

The fourth proportional to 2,211.27, 3,317.13 and 824.29 is: 1,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.27 : 3,317.13 = 824.29 : x
  2. Step 2: Convert to fraction form
    2,211.27/3,317.13 = 824.29/x
  3. Step 3: Cross multiply
    2,211.27x = 3,317.13 × 824.29
  4. Step 4: Simplify right side
    2,211.27x = 2,734,256.38
  5. Step 5: Solve for x
    x = 2,734,256.38/2,211.27
  6. Step 6: Final answer
    x = 1,236.51

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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.