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Finding the Fourth Proportional to 2,003.57, 3,001.17 and 1,611.45

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Solution

The fourth proportional to 2,003.57, 3,001.17 and 1,611.45 is: 2,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.57 : 3,001.17 = 1,611.45 : x
  2. Step 2: Convert to fraction form
    2,003.57/3,001.17 = 1,611.45/x
  3. Step 3: Cross multiply
    2,003.57x = 3,001.17 × 1,611.45
  4. Step 4: Simplify right side
    2,003.57x = 4,836,235.40
  5. Step 5: Solve for x
    x = 4,836,235.40/2,003.57
  6. Step 6: Final answer
    x = 2,413.82

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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.