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Finding the Fourth Proportional to 1,653.06, 2,477.97 and 1,067.97

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Solution

The fourth proportional to 1,653.06, 2,477.97 and 1,067.97 is: 1,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.06 : 2,477.97 = 1,067.97 : x
  2. Step 2: Convert to fraction form
    1,653.06/2,477.97 = 1,067.97/x
  3. Step 3: Cross multiply
    1,653.06x = 2,477.97 × 1,067.97
  4. Step 4: Simplify right side
    1,653.06x = 2,646,397.62
  5. Step 5: Solve for x
    x = 2,646,397.62/1,653.06
  6. Step 6: Final answer
    x = 1,600.91

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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.