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Finding the Fourth Proportional to 2,067.99, 3,099.07 and 1,603.61

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Solution

The fourth proportional to 2,067.99, 3,099.07 and 1,603.61 is: 2,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.99 : 3,099.07 = 1,603.61 : x
  2. Step 2: Convert to fraction form
    2,067.99/3,099.07 = 1,603.61/x
  3. Step 3: Cross multiply
    2,067.99x = 3,099.07 × 1,603.61
  4. Step 4: Simplify right side
    2,067.99x = 4,969,699.64
  5. Step 5: Solve for x
    x = 4,969,699.64/2,067.99
  6. Step 6: Final answer
    x = 2,403.15

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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.