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Finding the Fourth Proportional to 2,055.20, 3,082.80 and 516.20

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Solution

The fourth proportional to 2,055.20, 3,082.80 and 516.20 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.20 : 3,082.80 = 516.20 : x
  2. Step 2: Convert to fraction form
    2,055.20/3,082.80 = 516.20/x
  3. Step 3: Cross multiply
    2,055.20x = 3,082.80 × 516.20
  4. Step 4: Simplify right side
    2,055.20x = 1,591,325.95
  5. Step 5: Solve for x
    x = 1,591,325.95/2,055.20
  6. Step 6: Final answer
    x = 774.29

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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.