Home / 2,211.50-3,317.67-825.81

Finding the Fourth Proportional to 2,211.50, 3,317.67 and 825.81

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Solution

The fourth proportional to 2,211.50, 3,317.67 and 825.81 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.50 : 3,317.67 = 825.81 : x
  2. Step 2: Convert to fraction form
    2,211.50/3,317.67 = 825.81/x
  3. Step 3: Cross multiply
    2,211.50x = 3,317.67 × 825.81
  4. Step 4: Simplify right side
    2,211.50x = 2,739,765.06
  5. Step 5: Solve for x
    x = 2,739,765.06/2,211.50
  6. Step 6: Final answer
    x = 1,238.87

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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.