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Finding the Fourth Proportional to 1,891.29, 2,834.46 and 966.06

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Solution

The fourth proportional to 1,891.29, 2,834.46 and 966.06 is: 1,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.29 : 2,834.46 = 966.06 : x
  2. Step 2: Convert to fraction form
    1,891.29/2,834.46 = 966.06/x
  3. Step 3: Cross multiply
    1,891.29x = 2,834.46 × 966.06
  4. Step 4: Simplify right side
    1,891.29x = 2,738,258.43
  5. Step 5: Solve for x
    x = 2,738,258.43/1,891.29
  6. Step 6: Final answer
    x = 1,447.83

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Why These Related Problems?

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