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Finding the Fourth Proportional to 1,976.96, 2,965.46 and 516.13

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Solution

The fourth proportional to 1,976.96, 2,965.46 and 516.13 is: 774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.96 : 2,965.46 = 516.13 : x
  2. Step 2: Convert to fraction form
    1,976.96/2,965.46 = 516.13/x
  3. Step 3: Cross multiply
    1,976.96x = 2,965.46 × 516.13
  4. Step 4: Simplify right side
    1,976.96x = 1,530,552.88
  5. Step 5: Solve for x
    x = 1,530,552.88/1,976.96
  6. Step 6: Final answer
    x = 774.19

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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.