Home / 1,552.33-2,327.49-822.25

Finding the Fourth Proportional to 1,552.33, 2,327.49 and 822.25

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Solution

The fourth proportional to 1,552.33, 2,327.49 and 822.25 is: 1,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.33 : 2,327.49 = 822.25 : x
  2. Step 2: Convert to fraction form
    1,552.33/2,327.49 = 822.25/x
  3. Step 3: Cross multiply
    1,552.33x = 2,327.49 × 822.25
  4. Step 4: Simplify right side
    1,552.33x = 1,913,778.65
  5. Step 5: Solve for x
    x = 1,913,778.65/1,552.33
  6. Step 6: Final answer
    x = 1,232.84

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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.