Home / 2,121.50-3,183.06-823.08

Finding the Fourth Proportional to 2,121.50, 3,183.06 and 823.08

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Solution

The fourth proportional to 2,121.50, 3,183.06 and 823.08 is: 1,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.50 : 3,183.06 = 823.08 : x
  2. Step 2: Convert to fraction form
    2,121.50/3,183.06 = 823.08/x
  3. Step 3: Cross multiply
    2,121.50x = 3,183.06 × 823.08
  4. Step 4: Simplify right side
    2,121.50x = 2,619,913.02
  5. Step 5: Solve for x
    x = 2,619,913.02/2,121.50
  6. Step 6: Final answer
    x = 1,234.93

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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.