Home / 1,552.97-2,330.62-822.71

Finding the Fourth Proportional to 1,552.97, 2,330.62 and 822.71

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Solution

The fourth proportional to 1,552.97, 2,330.62 and 822.71 is: 1,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.97 : 2,330.62 = 822.71 : x
  2. Step 2: Convert to fraction form
    1,552.97/2,330.62 = 822.71/x
  3. Step 3: Cross multiply
    1,552.97x = 2,330.62 × 822.71
  4. Step 4: Simplify right side
    1,552.97x = 1,917,410.67
  5. Step 5: Solve for x
    x = 1,917,410.67/1,552.97
  6. Step 6: Final answer
    x = 1,234.68

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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.