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Finding the Fourth Proportional to 2,080.68, 3,115.62 and 2,019.12

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Solution

The fourth proportional to 2,080.68, 3,115.62 and 2,019.12 is: 3,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.68 : 3,115.62 = 2,019.12 : x
  2. Step 2: Convert to fraction form
    2,080.68/3,115.62 = 2,019.12/x
  3. Step 3: Cross multiply
    2,080.68x = 3,115.62 × 2,019.12
  4. Step 4: Simplify right side
    2,080.68x = 6,290,810.65
  5. Step 5: Solve for x
    x = 6,290,810.65/2,080.68
  6. Step 6: Final answer
    x = 3,023.44

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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.