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Finding the Fourth Proportional to 2,055, 3,082.50 and 516

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Solution

The fourth proportional to 2,055, 3,082.50 and 516 is: 774

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055 : 3,082.50 = 516 : x
  2. Step 2: Convert to fraction form
    2,055/3,082.50 = 516/x
  3. Step 3: Cross multiply
    2,055x = 3,082.50 × 516
  4. Step 4: Simplify right side
    2,055x = 1,590,570
  5. Step 5: Solve for x
    x = 1,590,570/2,055
  6. Step 6: Final answer
    x = 774

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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.