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Finding the Fourth Proportional to 2,033.36, 3,050.84 and 863.62

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Solution

The fourth proportional to 2,033.36, 3,050.84 and 863.62 is: 1,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.36 : 3,050.84 = 863.62 : x
  2. Step 2: Convert to fraction form
    2,033.36/3,050.84 = 863.62/x
  3. Step 3: Cross multiply
    2,033.36x = 3,050.84 × 863.62
  4. Step 4: Simplify right side
    2,033.36x = 2,634,766.44
  5. Step 5: Solve for x
    x = 2,634,766.44/2,033.36
  6. Step 6: Final answer
    x = 1,295.77

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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.