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Finding the Fourth Proportional to 3,083.67, 4,255.83 and 1,964.64

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Solution

The fourth proportional to 3,083.67, 4,255.83 and 1,964.64 is: 2,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.67 : 4,255.83 = 1,964.64 : x
  2. Step 2: Convert to fraction form
    3,083.67/4,255.83 = 1,964.64/x
  3. Step 3: Cross multiply
    3,083.67x = 4,255.83 × 1,964.64
  4. Step 4: Simplify right side
    3,083.67x = 8,361,173.85
  5. Step 5: Solve for x
    x = 8,361,173.85/3,083.67
  6. Step 6: Final answer
    x = 2,711.44

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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.