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Finding the Fourth Proportional to 3,181.86, 4,764.57 and 2,197.71

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Solution

The fourth proportional to 3,181.86, 4,764.57 and 2,197.71 is: 3,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.86 : 4,764.57 = 2,197.71 : x
  2. Step 2: Convert to fraction form
    3,181.86/4,764.57 = 2,197.71/x
  3. Step 3: Cross multiply
    3,181.86x = 4,764.57 × 2,197.71
  4. Step 4: Simplify right side
    3,181.86x = 10,471,143.13
  5. Step 5: Solve for x
    x = 10,471,143.13/3,181.86
  6. Step 6: Final answer
    x = 3,290.89

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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.