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Finding the Fourth Proportional to 1,967.31, 2,951.13 and 506.46

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Solution

The fourth proportional to 1,967.31, 2,951.13 and 506.46 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.31 : 2,951.13 = 506.46 : x
  2. Step 2: Convert to fraction form
    1,967.31/2,951.13 = 506.46/x
  3. Step 3: Cross multiply
    1,967.31x = 2,951.13 × 506.46
  4. Step 4: Simplify right side
    1,967.31x = 1,494,629.30
  5. Step 5: Solve for x
    x = 1,494,629.30/1,967.31
  6. Step 6: Final answer
    x = 759.73

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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.