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Finding the Fourth Proportional to 3,121, 4,674.84 and 2,022.10

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Solution

The fourth proportional to 3,121, 4,674.84 and 2,022.10 is: 3,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121 : 4,674.84 = 2,022.10 : x
  2. Step 2: Convert to fraction form
    3,121/4,674.84 = 2,022.10/x
  3. Step 3: Cross multiply
    3,121x = 4,674.84 × 2,022.10
  4. Step 4: Simplify right side
    3,121x = 9,452,993.96
  5. Step 5: Solve for x
    x = 9,452,993.96/3,121
  6. Step 6: Final answer
    x = 3,028.83

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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.