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Finding the Fourth Proportional to 1,968.97, 2,717.31 and 1,304.68

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Solution

The fourth proportional to 1,968.97, 2,717.31 and 1,304.68 is: 1,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.97 : 2,717.31 = 1,304.68 : x
  2. Step 2: Convert to fraction form
    1,968.97/2,717.31 = 1,304.68/x
  3. Step 3: Cross multiply
    1,968.97x = 2,717.31 × 1,304.68
  4. Step 4: Simplify right side
    1,968.97x = 3,545,220.01
  5. Step 5: Solve for x
    x = 3,545,220.01/1,968.97
  6. Step 6: Final answer
    x = 1,800.55

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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.