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Finding the Fourth Proportional to 2,033.69, 3,051.09 and 863.06

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Solution

The fourth proportional to 2,033.69, 3,051.09 and 863.06 is: 1,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.69 : 3,051.09 = 863.06 : x
  2. Step 2: Convert to fraction form
    2,033.69/3,051.09 = 863.06/x
  3. Step 3: Cross multiply
    2,033.69x = 3,051.09 × 863.06
  4. Step 4: Simplify right side
    2,033.69x = 2,633,258.48
  5. Step 5: Solve for x
    x = 2,633,258.48/2,033.69
  6. Step 6: Final answer
    x = 1,294.82

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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.