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Finding the Fourth Proportional to 3,257.70, 4,887.45 and 1,311.27

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Solution

The fourth proportional to 3,257.70, 4,887.45 and 1,311.27 is: 1,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.70 : 4,887.45 = 1,311.27 : x
  2. Step 2: Convert to fraction form
    3,257.70/4,887.45 = 1,311.27/x
  3. Step 3: Cross multiply
    3,257.70x = 4,887.45 × 1,311.27
  4. Step 4: Simplify right side
    3,257.70x = 6,408,766.56
  5. Step 5: Solve for x
    x = 6,408,766.56/3,257.70
  6. Step 6: Final answer
    x = 1,967.27

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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.