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Finding the Fourth Proportional to 4,067.70, 6,101.70 and 1,603.02

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Solution

The fourth proportional to 4,067.70, 6,101.70 and 1,603.02 is: 2,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.70 : 6,101.70 = 1,603.02 : x
  2. Step 2: Convert to fraction form
    4,067.70/6,101.70 = 1,603.02/x
  3. Step 3: Cross multiply
    4,067.70x = 6,101.70 × 1,603.02
  4. Step 4: Simplify right side
    4,067.70x = 9,781,147.13
  5. Step 5: Solve for x
    x = 9,781,147.13/4,067.70
  6. Step 6: Final answer
    x = 2,404.59

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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.