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Finding the Fourth Proportional to 1,822.20, 2,733.54 and 523.68

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Solution

The fourth proportional to 1,822.20, 2,733.54 and 523.68 is: 785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.20 : 2,733.54 = 523.68 : x
  2. Step 2: Convert to fraction form
    1,822.20/2,733.54 = 523.68/x
  3. Step 3: Cross multiply
    1,822.20x = 2,733.54 × 523.68
  4. Step 4: Simplify right side
    1,822.20x = 1,431,500.23
  5. Step 5: Solve for x
    x = 1,431,500.23/1,822.20
  6. Step 6: Final answer
    x = 785.59

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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.