Home / 2,552.22-3,828.46-820.86

Finding the Fourth Proportional to 2,552.22, 3,828.46 and 820.86

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Solution

The fourth proportional to 2,552.22, 3,828.46 and 820.86 is: 1,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.22 : 3,828.46 = 820.86 : x
  2. Step 2: Convert to fraction form
    2,552.22/3,828.46 = 820.86/x
  3. Step 3: Cross multiply
    2,552.22x = 3,828.46 × 820.86
  4. Step 4: Simplify right side
    2,552.22x = 3,142,629.68
  5. Step 5: Solve for x
    x = 3,142,629.68/2,552.22
  6. Step 6: Final answer
    x = 1,231.33

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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.