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Finding the Fourth Proportional to 3,081.99, 4,253.28 and 1,738.05

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Solution

The fourth proportional to 3,081.99, 4,253.28 and 1,738.05 is: 2,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.99 : 4,253.28 = 1,738.05 : x
  2. Step 2: Convert to fraction form
    3,081.99/4,253.28 = 1,738.05/x
  3. Step 3: Cross multiply
    3,081.99x = 4,253.28 × 1,738.05
  4. Step 4: Simplify right side
    3,081.99x = 7,392,413.30
  5. Step 5: Solve for x
    x = 7,392,413.30/3,081.99
  6. Step 6: Final answer
    x = 2,398.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.