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Finding the Fourth Proportional to 3,295.55, 4,944.96 and 1,540.68

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Solution

The fourth proportional to 3,295.55, 4,944.96 and 1,540.68 is: 2,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.55 : 4,944.96 = 1,540.68 : x
  2. Step 2: Convert to fraction form
    3,295.55/4,944.96 = 1,540.68/x
  3. Step 3: Cross multiply
    3,295.55x = 4,944.96 × 1,540.68
  4. Step 4: Simplify right side
    3,295.55x = 7,618,582.43
  5. Step 5: Solve for x
    x = 7,618,582.43/3,295.55
  6. Step 6: Final answer
    x = 2,311.78

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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.