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Finding the Fourth Proportional to 2,965.68, 4,441.23 and 2,442.42

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Solution

The fourth proportional to 2,965.68, 4,441.23 and 2,442.42 is: 3,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.68 : 4,441.23 = 2,442.42 : x
  2. Step 2: Convert to fraction form
    2,965.68/4,441.23 = 2,442.42/x
  3. Step 3: Cross multiply
    2,965.68x = 4,441.23 × 2,442.42
  4. Step 4: Simplify right side
    2,965.68x = 10,847,348.98
  5. Step 5: Solve for x
    x = 10,847,348.98/2,965.68
  6. Step 6: Final answer
    x = 3,657.63

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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.