Home / 2,211.16-3,314.63-823.55

Finding the Fourth Proportional to 2,211.16, 3,314.63 and 823.55

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Solution

The fourth proportional to 2,211.16, 3,314.63 and 823.55 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.16 : 3,314.63 = 823.55 : x
  2. Step 2: Convert to fraction form
    2,211.16/3,314.63 = 823.55/x
  3. Step 3: Cross multiply
    2,211.16x = 3,314.63 × 823.55
  4. Step 4: Simplify right side
    2,211.16x = 2,729,763.54
  5. Step 5: Solve for x
    x = 2,729,763.54/2,211.16
  6. Step 6: Final answer
    x = 1,234.54

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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.