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Finding the Fourth Proportional to 3,174.22, 4,762.67 and 1,711.67

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Solution

The fourth proportional to 3,174.22, 4,762.67 and 1,711.67 is: 2,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.22 : 4,762.67 = 1,711.67 : x
  2. Step 2: Convert to fraction form
    3,174.22/4,762.67 = 1,711.67/x
  3. Step 3: Cross multiply
    3,174.22x = 4,762.67 × 1,711.67
  4. Step 4: Simplify right side
    3,174.22x = 8,152,099.82
  5. Step 5: Solve for x
    x = 8,152,099.82/3,174.22
  6. Step 6: Final answer
    x = 2,568.22

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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.