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Finding the Fourth Proportional to 1,968.50, 2,716.54 and 1,084.31

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Solution

The fourth proportional to 1,968.50, 2,716.54 and 1,084.31 is: 1,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.50 : 2,716.54 = 1,084.31 : x
  2. Step 2: Convert to fraction form
    1,968.50/2,716.54 = 1,084.31/x
  3. Step 3: Cross multiply
    1,968.50x = 2,716.54 × 1,084.31
  4. Step 4: Simplify right side
    1,968.50x = 2,945,561.97
  5. Step 5: Solve for x
    x = 2,945,561.97/1,968.50
  6. Step 6: Final answer
    x = 1,496.35

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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.