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Finding the Fourth Proportional to 3,171.99, 4,377.87 and 1,846.47

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Solution

The fourth proportional to 3,171.99, 4,377.87 and 1,846.47 is: 2,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.99 : 4,377.87 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    3,171.99/4,377.87 = 1,846.47/x
  3. Step 3: Cross multiply
    3,171.99x = 4,377.87 × 1,846.47
  4. Step 4: Simplify right side
    3,171.99x = 8,083,614.92
  5. Step 5: Solve for x
    x = 8,083,614.92/3,171.99
  6. Step 6: Final answer
    x = 2,548.44

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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.