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Finding the Fourth Proportional to 1,930.42, 2,893.70 and 759.69

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Solution

The fourth proportional to 1,930.42, 2,893.70 and 759.69 is: 1,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.42 : 2,893.70 = 759.69 : x
  2. Step 2: Convert to fraction form
    1,930.42/2,893.70 = 759.69/x
  3. Step 3: Cross multiply
    1,930.42x = 2,893.70 × 759.69
  4. Step 4: Simplify right side
    1,930.42x = 2,198,314.95
  5. Step 5: Solve for x
    x = 2,198,314.95/1,930.42
  6. Step 6: Final answer
    x = 1,138.78

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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.