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Finding the Fourth Proportional to 2,002, 3,003.93 and 1,028.79

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Solution

The fourth proportional to 2,002, 3,003.93 and 1,028.79 is: 1,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 3,003.93 = 1,028.79 : x
  2. Step 2: Convert to fraction form
    2,002/3,003.93 = 1,028.79/x
  3. Step 3: Cross multiply
    2,002x = 3,003.93 × 1,028.79
  4. Step 4: Simplify right side
    2,002x = 3,090,413.14
  5. Step 5: Solve for x
    x = 3,090,413.14/2,002
  6. Step 6: Final answer
    x = 1,543.66

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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.