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Finding the Fourth Proportional to 2,747.67, 4,120.98 and 898.85

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Solution

The fourth proportional to 2,747.67, 4,120.98 and 898.85 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.67 : 4,120.98 = 898.85 : x
  2. Step 2: Convert to fraction form
    2,747.67/4,120.98 = 898.85/x
  3. Step 3: Cross multiply
    2,747.67x = 4,120.98 × 898.85
  4. Step 4: Simplify right side
    2,747.67x = 3,704,122.27
  5. Step 5: Solve for x
    x = 3,704,122.27/2,747.67
  6. Step 6: Final answer
    x = 1,348.10

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1.5x scale

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.