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Finding the Fourth Proportional to 1,696.62, 2,341.46 and 1,067.69

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Solution

The fourth proportional to 1,696.62, 2,341.46 and 1,067.69 is: 1,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.62 : 2,341.46 = 1,067.69 : x
  2. Step 2: Convert to fraction form
    1,696.62/2,341.46 = 1,067.69/x
  3. Step 3: Cross multiply
    1,696.62x = 2,341.46 × 1,067.69
  4. Step 4: Simplify right side
    1,696.62x = 2,499,944.39
  5. Step 5: Solve for x
    x = 2,499,944.39/1,696.62
  6. Step 6: Final answer
    x = 1,473.49

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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.