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Finding the Fourth Proportional to 3,163.35, 4,745.01 and 1,314.42

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Solution

The fourth proportional to 3,163.35, 4,745.01 and 1,314.42 is: 1,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.35 : 4,745.01 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    3,163.35/4,745.01 = 1,314.42/x
  3. Step 3: Cross multiply
    3,163.35x = 4,745.01 × 1,314.42
  4. Step 4: Simplify right side
    3,163.35x = 6,236,936.04
  5. Step 5: Solve for x
    x = 6,236,936.04/3,163.35
  6. Step 6: Final answer
    x = 1,971.62

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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.