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Finding the Fourth Proportional to 2,800.80, 4,200.78 and 951.90

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Solution

The fourth proportional to 2,800.80, 4,200.78 and 951.90 is: 1,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.80 : 4,200.78 = 951.90 : x
  2. Step 2: Convert to fraction form
    2,800.80/4,200.78 = 951.90/x
  3. Step 3: Cross multiply
    2,800.80x = 4,200.78 × 951.90
  4. Step 4: Simplify right side
    2,800.80x = 3,998,722.48
  5. Step 5: Solve for x
    x = 3,998,722.48/2,800.80
  6. Step 6: Final answer
    x = 1,427.71

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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.