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Finding the Fourth Proportional to 3,099.73, 4,648.48 and 1,344.65

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Solution

The fourth proportional to 3,099.73, 4,648.48 and 1,344.65 is: 2,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.73 : 4,648.48 = 1,344.65 : x
  2. Step 2: Convert to fraction form
    3,099.73/4,648.48 = 1,344.65/x
  3. Step 3: Cross multiply
    3,099.73x = 4,648.48 × 1,344.65
  4. Step 4: Simplify right side
    3,099.73x = 6,250,578.63
  5. Step 5: Solve for x
    x = 6,250,578.63/3,099.73
  6. Step 6: Final answer
    x = 2,016.49

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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.