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Finding the Fourth Proportional to 3,023.02, 4,170.78 and 1,961.62

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Solution

The fourth proportional to 3,023.02, 4,170.78 and 1,961.62 is: 2,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.02 : 4,170.78 = 1,961.62 : x
  2. Step 2: Convert to fraction form
    3,023.02/4,170.78 = 1,961.62/x
  3. Step 3: Cross multiply
    3,023.02x = 4,170.78 × 1,961.62
  4. Step 4: Simplify right side
    3,023.02x = 8,181,485.46
  5. Step 5: Solve for x
    x = 8,181,485.46/3,023.02
  6. Step 6: Final answer
    x = 2,706.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.