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Finding the Fourth Proportional to 1,664.80, 2,297.86 and 1,067.24

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Solution

The fourth proportional to 1,664.80, 2,297.86 and 1,067.24 is: 1,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.80 : 2,297.86 = 1,067.24 : x
  2. Step 2: Convert to fraction form
    1,664.80/2,297.86 = 1,067.24/x
  3. Step 3: Cross multiply
    1,664.80x = 2,297.86 × 1,067.24
  4. Step 4: Simplify right side
    1,664.80x = 2,452,371.18
  5. Step 5: Solve for x
    x = 2,452,371.18/1,664.80
  6. Step 6: Final answer
    x = 1,473.07

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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.