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Finding the Fourth Proportional to 2,616.45, 3,923.83 and 861.05

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Solution

The fourth proportional to 2,616.45, 3,923.83 and 861.05 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.45 : 3,923.83 = 861.05 : x
  2. Step 2: Convert to fraction form
    2,616.45/3,923.83 = 861.05/x
  3. Step 3: Cross multiply
    2,616.45x = 3,923.83 × 861.05
  4. Step 4: Simplify right side
    2,616.45x = 3,378,594.20
  5. Step 5: Solve for x
    x = 3,378,594.20/2,616.45
  6. Step 6: Final answer
    x = 1,291.29

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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.