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Finding the Fourth Proportional to 3,305.34, 4,960.64 and 1,745.75

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Solution

The fourth proportional to 3,305.34, 4,960.64 and 1,745.75 is: 2,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.34 : 4,960.64 = 1,745.75 : x
  2. Step 2: Convert to fraction form
    3,305.34/4,960.64 = 1,745.75/x
  3. Step 3: Cross multiply
    3,305.34x = 4,960.64 × 1,745.75
  4. Step 4: Simplify right side
    3,305.34x = 8,660,054.05
  5. Step 5: Solve for x
    x = 8,660,054.05/3,305.34
  6. Step 6: Final answer
    x = 2,620.02

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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.