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Finding the Fourth Proportional to 1,967.61, 2,951.96 and 796.89

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Solution

The fourth proportional to 1,967.61, 2,951.96 and 796.89 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.61 : 2,951.96 = 796.89 : x
  2. Step 2: Convert to fraction form
    1,967.61/2,951.96 = 796.89/x
  3. Step 3: Cross multiply
    1,967.61x = 2,951.96 × 796.89
  4. Step 4: Simplify right side
    1,967.61x = 2,352,387.40
  5. Step 5: Solve for x
    x = 2,352,387.40/1,967.61
  6. Step 6: Final answer
    x = 1,195.56

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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.