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Finding the Fourth Proportional to 2,586.28, 3,879.66 and 855.04

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Solution

The fourth proportional to 2,586.28, 3,879.66 and 855.04 is: 1,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.28 : 3,879.66 = 855.04 : x
  2. Step 2: Convert to fraction form
    2,586.28/3,879.66 = 855.04/x
  3. Step 3: Cross multiply
    2,586.28x = 3,879.66 × 855.04
  4. Step 4: Simplify right side
    2,586.28x = 3,317,264.49
  5. Step 5: Solve for x
    x = 3,317,264.49/2,586.28
  6. Step 6: Final answer
    x = 1,282.64

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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.