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Finding the Fourth Proportional to 3,054.97, 4,581.08 and 863.18

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Solution

The fourth proportional to 3,054.97, 4,581.08 and 863.18 is: 1,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.97 : 4,581.08 = 863.18 : x
  2. Step 2: Convert to fraction form
    3,054.97/4,581.08 = 863.18/x
  3. Step 3: Cross multiply
    3,054.97x = 4,581.08 × 863.18
  4. Step 4: Simplify right side
    3,054.97x = 3,954,305.14
  5. Step 5: Solve for x
    x = 3,954,305.14/3,054.97
  6. Step 6: Final answer
    x = 1,294.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.