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Finding the Fourth Proportional to 3,054.57, 4,581.82 and 863.29

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Solution

The fourth proportional to 3,054.57, 4,581.82 and 863.29 is: 1,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.57 : 4,581.82 = 863.29 : x
  2. Step 2: Convert to fraction form
    3,054.57/4,581.82 = 863.29/x
  3. Step 3: Cross multiply
    3,054.57x = 4,581.82 × 863.29
  4. Step 4: Simplify right side
    3,054.57x = 3,955,439.39
  5. Step 5: Solve for x
    x = 3,955,439.39/3,054.57
  6. Step 6: Final answer
    x = 1,294.93

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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.