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Finding the Fourth Proportional to 3,298.50, 4,948.97 and 1,738.44

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Solution

The fourth proportional to 3,298.50, 4,948.97 and 1,738.44 is: 2,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.50 : 4,948.97 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    3,298.50/4,948.97 = 1,738.44/x
  3. Step 3: Cross multiply
    3,298.50x = 4,948.97 × 1,738.44
  4. Step 4: Simplify right side
    3,298.50x = 8,603,478.71
  5. Step 5: Solve for x
    x = 8,603,478.71/3,298.50
  6. Step 6: Final answer
    x = 2,608.30

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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.