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Finding the Fourth Proportional to 3,182.70, 4,767.87 and 1,791.81

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Solution

The fourth proportional to 3,182.70, 4,767.87 and 1,791.81 is: 2,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.70 : 4,767.87 = 1,791.81 : x
  2. Step 2: Convert to fraction form
    3,182.70/4,767.87 = 1,791.81/x
  3. Step 3: Cross multiply
    3,182.70x = 4,767.87 × 1,791.81
  4. Step 4: Simplify right side
    3,182.70x = 8,543,117.14
  5. Step 5: Solve for x
    x = 8,543,117.14/3,182.70
  6. Step 6: Final answer
    x = 2,684.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.