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Finding the Fourth Proportional to 3,190.91, 4,404.12 and 1,932.17

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Solution

The fourth proportional to 3,190.91, 4,404.12 and 1,932.17 is: 2,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.91 : 4,404.12 = 1,932.17 : x
  2. Step 2: Convert to fraction form
    3,190.91/4,404.12 = 1,932.17/x
  3. Step 3: Cross multiply
    3,190.91x = 4,404.12 × 1,932.17
  4. Step 4: Simplify right side
    3,190.91x = 8,509,508.54
  5. Step 5: Solve for x
    x = 8,509,508.54/3,190.91
  6. Step 6: Final answer
    x = 2,666.80

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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.