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Finding the Fourth Proportional to 2,033.19, 3,050.19 and 863.19

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Solution

The fourth proportional to 2,033.19, 3,050.19 and 863.19 is: 1,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.19 : 3,050.19 = 863.19 : x
  2. Step 2: Convert to fraction form
    2,033.19/3,050.19 = 863.19/x
  3. Step 3: Cross multiply
    2,033.19x = 3,050.19 × 863.19
  4. Step 4: Simplify right side
    2,033.19x = 2,632,893.51
  5. Step 5: Solve for x
    x = 2,632,893.51/2,033.19
  6. Step 6: Final answer
    x = 1,294.96

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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.