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Finding the Fourth Proportional to 3,191.73, 4,793.06 and 1,733.73

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Solution

The fourth proportional to 3,191.73, 4,793.06 and 1,733.73 is: 2,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.73 : 4,793.06 = 1,733.73 : x
  2. Step 2: Convert to fraction form
    3,191.73/4,793.06 = 1,733.73/x
  3. Step 3: Cross multiply
    3,191.73x = 4,793.06 × 1,733.73
  4. Step 4: Simplify right side
    3,191.73x = 8,309,871.91
  5. Step 5: Solve for x
    x = 8,309,871.91/3,191.73
  6. Step 6: Final answer
    x = 2,603.56

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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.