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Finding the Fourth Proportional to 2,744.70, 4,115.85 and 1,100.70

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Solution

The fourth proportional to 2,744.70, 4,115.85 and 1,100.70 is: 1,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 4,115.85 = 1,100.70 : x
  2. Step 2: Convert to fraction form
    2,744.70/4,115.85 = 1,100.70/x
  3. Step 3: Cross multiply
    2,744.70x = 4,115.85 × 1,100.70
  4. Step 4: Simplify right side
    2,744.70x = 4,530,316.10
  5. Step 5: Solve for x
    x = 4,530,316.10/2,744.70
  6. Step 6: Final answer
    x = 1,650.57

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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.