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Finding the Fourth Proportional to 3,054.22, 4,581.72 and 863

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Solution

The fourth proportional to 3,054.22, 4,581.72 and 863 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.22 : 4,581.72 = 863 : x
  2. Step 2: Convert to fraction form
    3,054.22/4,581.72 = 863/x
  3. Step 3: Cross multiply
    3,054.22x = 4,581.72 × 863
  4. Step 4: Simplify right side
    3,054.22x = 3,954,024.36
  5. Step 5: Solve for x
    x = 3,954,024.36/3,054.22
  6. Step 6: Final answer
    x = 1,294.61

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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.