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Finding the Fourth Proportional to 3,210.68, 4,817.94 and 1,843.64

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Solution

The fourth proportional to 3,210.68, 4,817.94 and 1,843.64 is: 2,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.68 : 4,817.94 = 1,843.64 : x
  2. Step 2: Convert to fraction form
    3,210.68/4,817.94 = 1,843.64/x
  3. Step 3: Cross multiply
    3,210.68x = 4,817.94 × 1,843.64
  4. Step 4: Simplify right side
    3,210.68x = 8,882,546.90
  5. Step 5: Solve for x
    x = 8,882,546.90/3,210.68
  6. Step 6: Final answer
    x = 2,766.56

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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.