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Finding the Fourth Proportional to 1,681.97, 2,517.48 and 1,448.69

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Solution

The fourth proportional to 1,681.97, 2,517.48 and 1,448.69 is: 2,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.97 : 2,517.48 = 1,448.69 : x
  2. Step 2: Convert to fraction form
    1,681.97/2,517.48 = 1,448.69/x
  3. Step 3: Cross multiply
    1,681.97x = 2,517.48 × 1,448.69
  4. Step 4: Simplify right side
    1,681.97x = 3,647,035.51
  5. Step 5: Solve for x
    x = 3,647,035.51/1,681.97
  6. Step 6: Final answer
    x = 2,168.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.