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Finding the Fourth Proportional to 1,879.35, 2,819.37 and 629.82

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Solution

The fourth proportional to 1,879.35, 2,819.37 and 629.82 is: 944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.35 : 2,819.37 = 629.82 : x
  2. Step 2: Convert to fraction form
    1,879.35/2,819.37 = 629.82/x
  3. Step 3: Cross multiply
    1,879.35x = 2,819.37 × 629.82
  4. Step 4: Simplify right side
    1,879.35x = 1,775,684.73
  5. Step 5: Solve for x
    x = 1,775,684.73/1,879.35
  6. Step 6: Final answer
    x = 944.84

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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.