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Finding the Fourth Proportional to 2,493.86, 3,442.32 and 1,609.65

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Solution

The fourth proportional to 2,493.86, 3,442.32 and 1,609.65 is: 2,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.86 : 3,442.32 = 1,609.65 : x
  2. Step 2: Convert to fraction form
    2,493.86/3,442.32 = 1,609.65/x
  3. Step 3: Cross multiply
    2,493.86x = 3,442.32 × 1,609.65
  4. Step 4: Simplify right side
    2,493.86x = 5,540,930.39
  5. Step 5: Solve for x
    x = 5,540,930.39/2,493.86
  6. Step 6: Final answer
    x = 2,221.83

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