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Finding the Fourth Proportional to 3,163.42, 4,745.22 and 971.92

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Solution

The fourth proportional to 3,163.42, 4,745.22 and 971.92 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.42 : 4,745.22 = 971.92 : x
  2. Step 2: Convert to fraction form
    3,163.42/4,745.22 = 971.92/x
  3. Step 3: Cross multiply
    3,163.42x = 4,745.22 × 971.92
  4. Step 4: Simplify right side
    3,163.42x = 4,611,974.22
  5. Step 5: Solve for x
    x = 4,611,974.22/3,163.42
  6. Step 6: Final answer
    x = 1,457.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.