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Finding the Fourth Proportional to 3,321.64, 4,982.69 and 1,100.47

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Solution

The fourth proportional to 3,321.64, 4,982.69 and 1,100.47 is: 1,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.64 : 4,982.69 = 1,100.47 : x
  2. Step 2: Convert to fraction form
    3,321.64/4,982.69 = 1,100.47/x
  3. Step 3: Cross multiply
    3,321.64x = 4,982.69 × 1,100.47
  4. Step 4: Simplify right side
    3,321.64x = 5,483,300.86
  5. Step 5: Solve for x
    x = 5,483,300.86/3,321.64
  6. Step 6: Final answer
    x = 1,650.78

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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.