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Finding the Fourth Proportional to 2,020.80, 3,025.80 and 1,286.40

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Solution

The fourth proportional to 2,020.80, 3,025.80 and 1,286.40 is: 1,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.80 : 3,025.80 = 1,286.40 : x
  2. Step 2: Convert to fraction form
    2,020.80/3,025.80 = 1,286.40/x
  3. Step 3: Cross multiply
    2,020.80x = 3,025.80 × 1,286.40
  4. Step 4: Simplify right side
    2,020.80x = 3,892,389.12
  5. Step 5: Solve for x
    x = 3,892,389.12/2,020.80
  6. Step 6: Final answer
    x = 1,926.16

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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.