Home / 1,822.14-2,733.18-523.60

Finding the Fourth Proportional to 1,822.14, 2,733.18 and 523.60

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Solution

The fourth proportional to 1,822.14, 2,733.18 and 523.60 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.14 : 2,733.18 = 523.60 : x
  2. Step 2: Convert to fraction form
    1,822.14/2,733.18 = 523.60/x
  3. Step 3: Cross multiply
    1,822.14x = 2,733.18 × 523.60
  4. Step 4: Simplify right side
    1,822.14x = 1,431,093.05
  5. Step 5: Solve for x
    x = 1,431,093.05/1,822.14
  6. Step 6: Final answer
    x = 785.39

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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.