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Finding the Fourth Proportional to 1,965.97, 2,949.07 and 505.09

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Solution

The fourth proportional to 1,965.97, 2,949.07 and 505.09 is: 757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.97 : 2,949.07 = 505.09 : x
  2. Step 2: Convert to fraction form
    1,965.97/2,949.07 = 505.09/x
  3. Step 3: Cross multiply
    1,965.97x = 2,949.07 × 505.09
  4. Step 4: Simplify right side
    1,965.97x = 1,489,545.77
  5. Step 5: Solve for x
    x = 1,489,545.77/1,965.97
  6. Step 6: Final answer
    x = 757.66

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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.