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Finding the Fourth Proportional to 2,025.62, 3,039.83 and 855.65

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Solution

The fourth proportional to 2,025.62, 3,039.83 and 855.65 is: 1,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.62 : 3,039.83 = 855.65 : x
  2. Step 2: Convert to fraction form
    2,025.62/3,039.83 = 855.65/x
  3. Step 3: Cross multiply
    2,025.62x = 3,039.83 × 855.65
  4. Step 4: Simplify right side
    2,025.62x = 2,601,011.06
  5. Step 5: Solve for x
    x = 2,601,011.06/2,025.62
  6. Step 6: Final answer
    x = 1,284.06

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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.