Home / 1,481.07-2,221.09-823.94

Finding the Fourth Proportional to 1,481.07, 2,221.09 and 823.94

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Solution

The fourth proportional to 1,481.07, 2,221.09 and 823.94 is: 1,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.07 : 2,221.09 = 823.94 : x
  2. Step 2: Convert to fraction form
    1,481.07/2,221.09 = 823.94/x
  3. Step 3: Cross multiply
    1,481.07x = 2,221.09 × 823.94
  4. Step 4: Simplify right side
    1,481.07x = 1,830,049.42
  5. Step 5: Solve for x
    x = 1,830,049.42/1,481.07
  6. Step 6: Final answer
    x = 1,235.63

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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.