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Finding the Fourth Proportional to 1,960.57, 2,941.84 and 728.26

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Solution

The fourth proportional to 1,960.57, 2,941.84 and 728.26 is: 1,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.57 : 2,941.84 = 728.26 : x
  2. Step 2: Convert to fraction form
    1,960.57/2,941.84 = 728.26/x
  3. Step 3: Cross multiply
    1,960.57x = 2,941.84 × 728.26
  4. Step 4: Simplify right side
    1,960.57x = 2,142,417.95
  5. Step 5: Solve for x
    x = 2,142,417.95/1,960.57
  6. Step 6: Final answer
    x = 1,092.75

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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.