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Finding the Fourth Proportional to 2,516.68, 3,770.52 and 2,245.20

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Solution

The fourth proportional to 2,516.68, 3,770.52 and 2,245.20 is: 3,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.68 : 3,770.52 = 2,245.20 : x
  2. Step 2: Convert to fraction form
    2,516.68/3,770.52 = 2,245.20/x
  3. Step 3: Cross multiply
    2,516.68x = 3,770.52 × 2,245.20
  4. Step 4: Simplify right side
    2,516.68x = 8,465,571.50
  5. Step 5: Solve for x
    x = 8,465,571.50/2,516.68
  6. Step 6: Final answer
    x = 3,363.79

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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.