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Finding the Fourth Proportional to 2,016.14, 3,023.13 and 861.26

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Solution

The fourth proportional to 2,016.14, 3,023.13 and 861.26 is: 1,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 3,023.13 = 861.26 : x
  2. Step 2: Convert to fraction form
    2,016.14/3,023.13 = 861.26/x
  3. Step 3: Cross multiply
    2,016.14x = 3,023.13 × 861.26
  4. Step 4: Simplify right side
    2,016.14x = 2,603,700.94
  5. Step 5: Solve for x
    x = 2,603,700.94/2,016.14
  6. Step 6: Final answer
    x = 1,291.43

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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.