Home / 2,383.44-3,575.38-823.22

Finding the Fourth Proportional to 2,383.44, 3,575.38 and 823.22

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Solution

The fourth proportional to 2,383.44, 3,575.38 and 823.22 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.44 : 3,575.38 = 823.22 : x
  2. Step 2: Convert to fraction form
    2,383.44/3,575.38 = 823.22/x
  3. Step 3: Cross multiply
    2,383.44x = 3,575.38 × 823.22
  4. Step 4: Simplify right side
    2,383.44x = 2,943,324.32
  5. Step 5: Solve for x
    x = 2,943,324.32/2,383.44
  6. Step 6: Final answer
    x = 1,234.91

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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.