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Finding the Fourth Proportional to 1,960.96, 2,941.74 and 728.36

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Solution

The fourth proportional to 1,960.96, 2,941.74 and 728.36 is: 1,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.96 : 2,941.74 = 728.36 : x
  2. Step 2: Convert to fraction form
    1,960.96/2,941.74 = 728.36/x
  3. Step 3: Cross multiply
    1,960.96x = 2,941.74 × 728.36
  4. Step 4: Simplify right side
    1,960.96x = 2,142,645.75
  5. Step 5: Solve for x
    x = 2,142,645.75/1,960.96
  6. Step 6: Final answer
    x = 1,092.65

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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.