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Finding the Fourth Proportional to 2,351.92, 3,245.67 and 1,467.67

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Solution

The fourth proportional to 2,351.92, 3,245.67 and 1,467.67 is: 2,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.92 : 3,245.67 = 1,467.67 : x
  2. Step 2: Convert to fraction form
    2,351.92/3,245.67 = 1,467.67/x
  3. Step 3: Cross multiply
    2,351.92x = 3,245.67 × 1,467.67
  4. Step 4: Simplify right side
    2,351.92x = 4,763,572.49
  5. Step 5: Solve for x
    x = 4,763,572.49/2,351.92
  6. Step 6: Final answer
    x = 2,025.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.