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Finding the Fourth Proportional to 3,295.86, 4,944.33 and 1,446.90

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Solution

The fourth proportional to 3,295.86, 4,944.33 and 1,446.90 is: 2,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.86 : 4,944.33 = 1,446.90 : x
  2. Step 2: Convert to fraction form
    3,295.86/4,944.33 = 1,446.90/x
  3. Step 3: Cross multiply
    3,295.86x = 4,944.33 × 1,446.90
  4. Step 4: Simplify right side
    3,295.86x = 7,153,951.08
  5. Step 5: Solve for x
    x = 7,153,951.08/3,295.86
  6. Step 6: Final answer
    x = 2,170.59

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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.