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Finding the Fourth Proportional to 1,968.73, 2,716.89 and 1,084.57

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Solution

The fourth proportional to 1,968.73, 2,716.89 and 1,084.57 is: 1,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.73 : 2,716.89 = 1,084.57 : x
  2. Step 2: Convert to fraction form
    1,968.73/2,716.89 = 1,084.57/x
  3. Step 3: Cross multiply
    1,968.73x = 2,716.89 × 1,084.57
  4. Step 4: Simplify right side
    1,968.73x = 2,946,657.39
  5. Step 5: Solve for x
    x = 2,946,657.39/1,968.73
  6. Step 6: Final answer
    x = 1,496.73

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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.