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Finding the Fourth Proportional to 3,310.55, 4,965.86 and 845.39

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Solution

The fourth proportional to 3,310.55, 4,965.86 and 845.39 is: 1,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.55 : 4,965.86 = 845.39 : x
  2. Step 2: Convert to fraction form
    3,310.55/4,965.86 = 845.39/x
  3. Step 3: Cross multiply
    3,310.55x = 4,965.86 × 845.39
  4. Step 4: Simplify right side
    3,310.55x = 4,198,065.67
  5. Step 5: Solve for x
    x = 4,198,065.67/3,310.55
  6. Step 6: Final answer
    x = 1,268.09

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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.