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Finding the Fourth Proportional to 3,183.84, 4,779 and 2,260.44

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Solution

The fourth proportional to 3,183.84, 4,779 and 2,260.44 is: 3,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.84 : 4,779 = 2,260.44 : x
  2. Step 2: Convert to fraction form
    3,183.84/4,779 = 2,260.44/x
  3. Step 3: Cross multiply
    3,183.84x = 4,779 × 2,260.44
  4. Step 4: Simplify right side
    3,183.84x = 10,802,642.76
  5. Step 5: Solve for x
    x = 10,802,642.76/3,183.84
  6. Step 6: Final answer
    x = 3,392.96

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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.