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Finding the Fourth Proportional to 2,817.81, 4,218.62 and 2,121.21

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Solution

The fourth proportional to 2,817.81, 4,218.62 and 2,121.21 is: 3,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.81 : 4,218.62 = 2,121.21 : x
  2. Step 2: Convert to fraction form
    2,817.81/4,218.62 = 2,121.21/x
  3. Step 3: Cross multiply
    2,817.81x = 4,218.62 × 2,121.21
  4. Step 4: Simplify right side
    2,817.81x = 8,948,568.32
  5. Step 5: Solve for x
    x = 8,948,568.32/2,817.81
  6. Step 6: Final answer
    x = 3,175.72

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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.