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Finding the Fourth Proportional to 1,819.37, 2,729.03 and 520.85

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Solution

The fourth proportional to 1,819.37, 2,729.03 and 520.85 is: 781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.37 : 2,729.03 = 520.85 : x
  2. Step 2: Convert to fraction form
    1,819.37/2,729.03 = 520.85/x
  3. Step 3: Cross multiply
    1,819.37x = 2,729.03 × 520.85
  4. Step 4: Simplify right side
    1,819.37x = 1,421,399.03
  5. Step 5: Solve for x
    x = 1,421,399.03/1,819.37
  6. Step 6: Final answer
    x = 781.26

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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.