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Finding the Fourth Proportional to 1,965.85, 2,948.82 and 505.02

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Solution

The fourth proportional to 1,965.85, 2,948.82 and 505.02 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.85 : 2,948.82 = 505.02 : x
  2. Step 2: Convert to fraction form
    1,965.85/2,948.82 = 505.02/x
  3. Step 3: Cross multiply
    1,965.85x = 2,948.82 × 505.02
  4. Step 4: Simplify right side
    1,965.85x = 1,489,198.33
  5. Step 5: Solve for x
    x = 1,489,198.33/1,965.85
  6. Step 6: Final answer
    x = 757.53

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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.