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Finding the Fourth Proportional to 1,789.97, 2,682.53 and 1,329.49

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Solution

The fourth proportional to 1,789.97, 2,682.53 and 1,329.49 is: 1,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.97 : 2,682.53 = 1,329.49 : x
  2. Step 2: Convert to fraction form
    1,789.97/2,682.53 = 1,329.49/x
  3. Step 3: Cross multiply
    1,789.97x = 2,682.53 × 1,329.49
  4. Step 4: Simplify right side
    1,789.97x = 3,566,376.75
  5. Step 5: Solve for x
    x = 3,566,376.75/1,789.97
  6. Step 6: Final answer
    x = 1,992.42

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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.