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Finding the Fourth Proportional to 2,586.69, 3,879.72 and 855.27

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Solution

The fourth proportional to 2,586.69, 3,879.72 and 855.27 is: 1,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.69 : 3,879.72 = 855.27 : x
  2. Step 2: Convert to fraction form
    2,586.69/3,879.72 = 855.27/x
  3. Step 3: Cross multiply
    2,586.69x = 3,879.72 × 855.27
  4. Step 4: Simplify right side
    2,586.69x = 3,318,208.12
  5. Step 5: Solve for x
    x = 3,318,208.12/2,586.69
  6. Step 6: Final answer
    x = 1,282.80

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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.