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Finding the Fourth Proportional to 3,055.06, 4,581.60 and 863.20

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Solution

The fourth proportional to 3,055.06, 4,581.60 and 863.20 is: 1,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.06 : 4,581.60 = 863.20 : x
  2. Step 2: Convert to fraction form
    3,055.06/4,581.60 = 863.20/x
  3. Step 3: Cross multiply
    3,055.06x = 4,581.60 × 863.20
  4. Step 4: Simplify right side
    3,055.06x = 3,954,837.12
  5. Step 5: Solve for x
    x = 3,954,837.12/3,055.06
  6. Step 6: Final answer
    x = 1,294.52

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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.