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Finding the Fourth Proportional to 1,819.75, 2,729.64 and 451.75

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Solution

The fourth proportional to 1,819.75, 2,729.64 and 451.75 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.75 : 2,729.64 = 451.75 : x
  2. Step 2: Convert to fraction form
    1,819.75/2,729.64 = 451.75/x
  3. Step 3: Cross multiply
    1,819.75x = 2,729.64 × 451.75
  4. Step 4: Simplify right side
    1,819.75x = 1,233,114.87
  5. Step 5: Solve for x
    x = 1,233,114.87/1,819.75
  6. Step 6: Final answer
    x = 677.63

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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.