Home / 1,822.23-2,733.75-523.80

Finding the Fourth Proportional to 1,822.23, 2,733.75 and 523.80

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Solution

The fourth proportional to 1,822.23, 2,733.75 and 523.80 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.23 : 2,733.75 = 523.80 : x
  2. Step 2: Convert to fraction form
    1,822.23/2,733.75 = 523.80/x
  3. Step 3: Cross multiply
    1,822.23x = 2,733.75 × 523.80
  4. Step 4: Simplify right side
    1,822.23x = 1,431,938.25
  5. Step 5: Solve for x
    x = 1,431,938.25/1,822.23
  6. Step 6: Final answer
    x = 785.82

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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.