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Finding the Fourth Proportional to 1,788.13, 2,680.17 and 966.79

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Solution

The fourth proportional to 1,788.13, 2,680.17 and 966.79 is: 1,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.13 : 2,680.17 = 966.79 : x
  2. Step 2: Convert to fraction form
    1,788.13/2,680.17 = 966.79/x
  3. Step 3: Cross multiply
    1,788.13x = 2,680.17 × 966.79
  4. Step 4: Simplify right side
    1,788.13x = 2,591,161.55
  5. Step 5: Solve for x
    x = 2,591,161.55/1,788.13
  6. Step 6: Final answer
    x = 1,449.09

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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.