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Finding the Fourth Proportional to 3,054.90, 4,581.77 and 863.62

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Solution

The fourth proportional to 3,054.90, 4,581.77 and 863.62 is: 1,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.90 : 4,581.77 = 863.62 : x
  2. Step 2: Convert to fraction form
    3,054.90/4,581.77 = 863.62/x
  3. Step 3: Cross multiply
    3,054.90x = 4,581.77 × 863.62
  4. Step 4: Simplify right side
    3,054.90x = 3,956,885.30
  5. Step 5: Solve for x
    x = 3,956,885.30/3,054.90
  6. Step 6: Final answer
    x = 1,295.26

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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.