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Finding the Fourth Proportional to 2,067.72, 3,097.67 and 1,603.23

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Solution

The fourth proportional to 2,067.72, 3,097.67 and 1,603.23 is: 2,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.72 : 3,097.67 = 1,603.23 : x
  2. Step 2: Convert to fraction form
    2,067.72/3,097.67 = 1,603.23/x
  3. Step 3: Cross multiply
    2,067.72x = 3,097.67 × 1,603.23
  4. Step 4: Simplify right side
    2,067.72x = 4,966,261.99
  5. Step 5: Solve for x
    x = 4,966,261.99/2,067.72
  6. Step 6: Final answer
    x = 2,401.81

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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.