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Finding the Fourth Proportional to 3,194.67, 4,793.22 and 1,114.93

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Solution

The fourth proportional to 3,194.67, 4,793.22 and 1,114.93 is: 1,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.67 : 4,793.22 = 1,114.93 : x
  2. Step 2: Convert to fraction form
    3,194.67/4,793.22 = 1,114.93/x
  3. Step 3: Cross multiply
    3,194.67x = 4,793.22 × 1,114.93
  4. Step 4: Simplify right side
    3,194.67x = 5,344,104.77
  5. Step 5: Solve for x
    x = 5,344,104.77/3,194.67
  6. Step 6: Final answer
    x = 1,672.82

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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.