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Finding the Fourth Proportional to 1,951.38, 2,927.06 and 796.32

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Solution

The fourth proportional to 1,951.38, 2,927.06 and 796.32 is: 1,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.38 : 2,927.06 = 796.32 : x
  2. Step 2: Convert to fraction form
    1,951.38/2,927.06 = 796.32/x
  3. Step 3: Cross multiply
    1,951.38x = 2,927.06 × 796.32
  4. Step 4: Simplify right side
    1,951.38x = 2,330,872.44
  5. Step 5: Solve for x
    x = 2,330,872.44/1,951.38
  6. Step 6: Final answer
    x = 1,194.47

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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.