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Finding the Fourth Proportional to 3,171.99, 4,377.30 and 1,755.68

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Solution

The fourth proportional to 3,171.99, 4,377.30 and 1,755.68 is: 2,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.99 : 4,377.30 = 1,755.68 : x
  2. Step 2: Convert to fraction form
    3,171.99/4,377.30 = 1,755.68/x
  3. Step 3: Cross multiply
    3,171.99x = 4,377.30 × 1,755.68
  4. Step 4: Simplify right side
    3,171.99x = 7,685,121.94
  5. Step 5: Solve for x
    x = 7,685,121.94/3,171.99
  6. Step 6: Final answer
    x = 2,422.81

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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.