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Finding the Fourth Proportional to 4,768.24, 7,149.78 and 1,480.44

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Solution

The fourth proportional to 4,768.24, 7,149.78 and 1,480.44 is: 2,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.24 : 7,149.78 = 1,480.44 : x
  2. Step 2: Convert to fraction form
    4,768.24/7,149.78 = 1,480.44/x
  3. Step 3: Cross multiply
    4,768.24x = 7,149.78 × 1,480.44
  4. Step 4: Simplify right side
    4,768.24x = 10,584,820.30
  5. Step 5: Solve for x
    x = 10,584,820.30/4,768.24
  6. Step 6: Final answer
    x = 2,219.86

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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.