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Finding the Fourth Proportional to 2,949.84, 4,060.26 and 2,446.83

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Solution

The fourth proportional to 2,949.84, 4,060.26 and 2,446.83 is: 3,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.84 : 4,060.26 = 2,446.83 : x
  2. Step 2: Convert to fraction form
    2,949.84/4,060.26 = 2,446.83/x
  3. Step 3: Cross multiply
    2,949.84x = 4,060.26 × 2,446.83
  4. Step 4: Simplify right side
    2,949.84x = 9,934,765.98
  5. Step 5: Solve for x
    x = 9,934,765.98/2,949.84
  6. Step 6: Final answer
    x = 3,367.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.