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Finding the Fourth Proportional to 1,696.73, 2,542.96 and 966.71

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Solution

The fourth proportional to 1,696.73, 2,542.96 and 966.71 is: 1,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.73 : 2,542.96 = 966.71 : x
  2. Step 2: Convert to fraction form
    1,696.73/2,542.96 = 966.71/x
  3. Step 3: Cross multiply
    1,696.73x = 2,542.96 × 966.71
  4. Step 4: Simplify right side
    1,696.73x = 2,458,308.80
  5. Step 5: Solve for x
    x = 2,458,308.80/1,696.73
  6. Step 6: Final answer
    x = 1,448.86

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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.