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Finding the Fourth Proportional to 1,968.61, 2,716.73 and 1,084.46

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Solution

The fourth proportional to 1,968.61, 2,716.73 and 1,084.46 is: 1,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.61 : 2,716.73 = 1,084.46 : x
  2. Step 2: Convert to fraction form
    1,968.61/2,716.73 = 1,084.46/x
  3. Step 3: Cross multiply
    1,968.61x = 2,716.73 × 1,084.46
  4. Step 4: Simplify right side
    1,968.61x = 2,946,185.02
  5. Step 5: Solve for x
    x = 2,946,185.02/1,968.61
  6. Step 6: Final answer
    x = 1,496.58

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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.