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Finding the Fourth Proportional to 3,081.74, 4,618.76 and 1,694.21

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Solution

The fourth proportional to 3,081.74, 4,618.76 and 1,694.21 is: 2,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.74 : 4,618.76 = 1,694.21 : x
  2. Step 2: Convert to fraction form
    3,081.74/4,618.76 = 1,694.21/x
  3. Step 3: Cross multiply
    3,081.74x = 4,618.76 × 1,694.21
  4. Step 4: Simplify right side
    3,081.74x = 7,825,149.38
  5. Step 5: Solve for x
    x = 7,825,149.38/3,081.74
  6. Step 6: Final answer
    x = 2,539.20

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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.