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Finding the Fourth Proportional to 3,226.93, 4,833.91 and 1,684.69

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Solution

The fourth proportional to 3,226.93, 4,833.91 and 1,684.69 is: 2,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.93 : 4,833.91 = 1,684.69 : x
  2. Step 2: Convert to fraction form
    3,226.93/4,833.91 = 1,684.69/x
  3. Step 3: Cross multiply
    3,226.93x = 4,833.91 × 1,684.69
  4. Step 4: Simplify right side
    3,226.93x = 8,143,639.84
  5. Step 5: Solve for x
    x = 8,143,639.84/3,226.93
  6. Step 6: Final answer
    x = 2,523.65

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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.