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Finding the Fourth Proportional to 3,293.93, 4,942.97 and 2,402.80

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Solution

The fourth proportional to 3,293.93, 4,942.97 and 2,402.80 is: 3,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.93 : 4,942.97 = 2,402.80 : x
  2. Step 2: Convert to fraction form
    3,293.93/4,942.97 = 2,402.80/x
  3. Step 3: Cross multiply
    3,293.93x = 4,942.97 × 2,402.80
  4. Step 4: Simplify right side
    3,293.93x = 11,876,968.32
  5. Step 5: Solve for x
    x = 11,876,968.32/3,293.93
  6. Step 6: Final answer
    x = 3,605.71

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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.