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Finding the Fourth Proportional to 4,121.73, 6,181.95 and 1,348.42

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Solution

The fourth proportional to 4,121.73, 6,181.95 and 1,348.42 is: 2,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.73 : 6,181.95 = 1,348.42 : x
  2. Step 2: Convert to fraction form
    4,121.73/6,181.95 = 1,348.42/x
  3. Step 3: Cross multiply
    4,121.73x = 6,181.95 × 1,348.42
  4. Step 4: Simplify right side
    4,121.73x = 8,335,834.11
  5. Step 5: Solve for x
    x = 8,335,834.11/4,121.73
  6. Step 6: Final answer
    x = 2,022.41

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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.