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Finding the Fourth Proportional to 3,441.66, 4,749.78 and 1,949.84

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Solution

The fourth proportional to 3,441.66, 4,749.78 and 1,949.84 is: 2,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.66 : 4,749.78 = 1,949.84 : x
  2. Step 2: Convert to fraction form
    3,441.66/4,749.78 = 1,949.84/x
  3. Step 3: Cross multiply
    3,441.66x = 4,749.78 × 1,949.84
  4. Step 4: Simplify right side
    3,441.66x = 9,261,311.04
  5. Step 5: Solve for x
    x = 9,261,311.04/3,441.66
  6. Step 6: Final answer
    x = 2,690.94

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Why These Related Problems?

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