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Finding the Fourth Proportional to 1,861.75, 2,792.97 and 765.52

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Solution

The fourth proportional to 1,861.75, 2,792.97 and 765.52 is: 1,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.75 : 2,792.97 = 765.52 : x
  2. Step 2: Convert to fraction form
    1,861.75/2,792.97 = 765.52/x
  3. Step 3: Cross multiply
    1,861.75x = 2,792.97 × 765.52
  4. Step 4: Simplify right side
    1,861.75x = 2,138,067.41
  5. Step 5: Solve for x
    x = 2,138,067.41/1,861.75
  6. Step 6: Final answer
    x = 1,148.42

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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.