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Finding the Fourth Proportional to 2,084.73, 3,121.62 and 1,352.08

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Solution

The fourth proportional to 2,084.73, 3,121.62 and 1,352.08 is: 2,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.73 : 3,121.62 = 1,352.08 : x
  2. Step 2: Convert to fraction form
    2,084.73/3,121.62 = 1,352.08/x
  3. Step 3: Cross multiply
    2,084.73x = 3,121.62 × 1,352.08
  4. Step 4: Simplify right side
    2,084.73x = 4,220,679.97
  5. Step 5: Solve for x
    x = 4,220,679.97/2,084.73
  6. Step 6: Final answer
    x = 2,024.57

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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.