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Finding the Fourth Proportional to 1,962.14, 2,942.28 and 728.70

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Solution

The fourth proportional to 1,962.14, 2,942.28 and 728.70 is: 1,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.14 : 2,942.28 = 728.70 : x
  2. Step 2: Convert to fraction form
    1,962.14/2,942.28 = 728.70/x
  3. Step 3: Cross multiply
    1,962.14x = 2,942.28 × 728.70
  4. Step 4: Simplify right side
    1,962.14x = 2,144,039.44
  5. Step 5: Solve for x
    x = 2,144,039.44/1,962.14
  6. Step 6: Final answer
    x = 1,092.71

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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.