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Finding the Fourth Proportional to 2,586.60, 3,877.42 and 1,286.80

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Solution

The fourth proportional to 2,586.60, 3,877.42 and 1,286.80 is: 1,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.60 : 3,877.42 = 1,286.80 : x
  2. Step 2: Convert to fraction form
    2,586.60/3,877.42 = 1,286.80/x
  3. Step 3: Cross multiply
    2,586.60x = 3,877.42 × 1,286.80
  4. Step 4: Simplify right side
    2,586.60x = 4,989,464.06
  5. Step 5: Solve for x
    x = 4,989,464.06/2,586.60
  6. Step 6: Final answer
    x = 1,928.97

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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.