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Finding the Fourth Proportional to 2,273.07, 3,408.25 and 884.77

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Solution

The fourth proportional to 2,273.07, 3,408.25 and 884.77 is: 1,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.07 : 3,408.25 = 884.77 : x
  2. Step 2: Convert to fraction form
    2,273.07/3,408.25 = 884.77/x
  3. Step 3: Cross multiply
    2,273.07x = 3,408.25 × 884.77
  4. Step 4: Simplify right side
    2,273.07x = 3,015,517.35
  5. Step 5: Solve for x
    x = 3,015,517.35/2,273.07
  6. Step 6: Final answer
    x = 1,326.63

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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.