Home / 2,211.42-3,317.67-824.82

Finding the Fourth Proportional to 2,211.42, 3,317.67 and 824.82

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Solution

The fourth proportional to 2,211.42, 3,317.67 and 824.82 is: 1,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.42 : 3,317.67 = 824.82 : x
  2. Step 2: Convert to fraction form
    2,211.42/3,317.67 = 824.82/x
  3. Step 3: Cross multiply
    2,211.42x = 3,317.67 × 824.82
  4. Step 4: Simplify right side
    2,211.42x = 2,736,480.57
  5. Step 5: Solve for x
    x = 2,736,480.57/2,211.42
  6. Step 6: Final answer
    x = 1,237.43

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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.