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Finding the Fourth Proportional to 1,968.47, 2,716.31 and 1,222.62

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Solution

The fourth proportional to 1,968.47, 2,716.31 and 1,222.62 is: 1,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.47 : 2,716.31 = 1,222.62 : x
  2. Step 2: Convert to fraction form
    1,968.47/2,716.31 = 1,222.62/x
  3. Step 3: Cross multiply
    1,968.47x = 2,716.31 × 1,222.62
  4. Step 4: Simplify right side
    1,968.47x = 3,321,008.82
  5. Step 5: Solve for x
    x = 3,321,008.82/1,968.47
  6. Step 6: Final answer
    x = 1,687.11

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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.