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Finding the Fourth Proportional to 1,968.36, 2,716.12 and 1,223.16

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Solution

The fourth proportional to 1,968.36, 2,716.12 and 1,223.16 is: 1,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.36 : 2,716.12 = 1,223.16 : x
  2. Step 2: Convert to fraction form
    1,968.36/2,716.12 = 1,223.16/x
  3. Step 3: Cross multiply
    1,968.36x = 2,716.12 × 1,223.16
  4. Step 4: Simplify right side
    1,968.36x = 3,322,249.34
  5. Step 5: Solve for x
    x = 3,322,249.34/1,968.36
  6. Step 6: Final answer
    x = 1,687.83

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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.