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Finding the Fourth Proportional to 2,311.54, 3,467.50 and 995.36

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Solution

The fourth proportional to 2,311.54, 3,467.50 and 995.36 is: 1,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.54 : 3,467.50 = 995.36 : x
  2. Step 2: Convert to fraction form
    2,311.54/3,467.50 = 995.36/x
  3. Step 3: Cross multiply
    2,311.54x = 3,467.50 × 995.36
  4. Step 4: Simplify right side
    2,311.54x = 3,451,410.80
  5. Step 5: Solve for x
    x = 3,451,410.80/2,311.54
  6. Step 6: Final answer
    x = 1,493.12

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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.