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Finding the Fourth Proportional to 2,747.50, 4,121.92 and 898.70

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Solution

The fourth proportional to 2,747.50, 4,121.92 and 898.70 is: 1,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.50 : 4,121.92 = 898.70 : x
  2. Step 2: Convert to fraction form
    2,747.50/4,121.92 = 898.70/x
  3. Step 3: Cross multiply
    2,747.50x = 4,121.92 × 898.70
  4. Step 4: Simplify right side
    2,747.50x = 3,704,369.50
  5. Step 5: Solve for x
    x = 3,704,369.50/2,747.50
  6. Step 6: Final answer
    x = 1,348.27

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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.