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Finding the Fourth Proportional to 3,084.73, 4,625.31 and 1,697.73

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Solution

The fourth proportional to 3,084.73, 4,625.31 and 1,697.73 is: 2,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.73 : 4,625.31 = 1,697.73 : x
  2. Step 2: Convert to fraction form
    3,084.73/4,625.31 = 1,697.73/x
  3. Step 3: Cross multiply
    3,084.73x = 4,625.31 × 1,697.73
  4. Step 4: Simplify right side
    3,084.73x = 7,852,527.55
  5. Step 5: Solve for x
    x = 7,852,527.55/3,084.73
  6. Step 6: Final answer
    x = 2,545.61

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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.