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Finding the Fourth Proportional to 3,098.50, 4,648.96 and 1,365.92

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Solution

The fourth proportional to 3,098.50, 4,648.96 and 1,365.92 is: 2,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.50 : 4,648.96 = 1,365.92 : x
  2. Step 2: Convert to fraction form
    3,098.50/4,648.96 = 1,365.92/x
  3. Step 3: Cross multiply
    3,098.50x = 4,648.96 × 1,365.92
  4. Step 4: Simplify right side
    3,098.50x = 6,350,107.44
  5. Step 5: Solve for x
    x = 6,350,107.44/3,098.50
  6. Step 6: Final answer
    x = 2,049.41

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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.