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Finding the Fourth Proportional to 2,016.06, 3,025.29 and 861.78

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Solution

The fourth proportional to 2,016.06, 3,025.29 and 861.78 is: 1,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.06 : 3,025.29 = 861.78 : x
  2. Step 2: Convert to fraction form
    2,016.06/3,025.29 = 861.78/x
  3. Step 3: Cross multiply
    2,016.06x = 3,025.29 × 861.78
  4. Step 4: Simplify right side
    2,016.06x = 2,607,134.42
  5. Step 5: Solve for x
    x = 2,607,134.42/2,016.06
  6. Step 6: Final answer
    x = 1,293.18

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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.