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Finding the Fourth Proportional to 1,982.22, 2,975.02 and 1,105.58

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Solution

The fourth proportional to 1,982.22, 2,975.02 and 1,105.58 is: 1,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.22 : 2,975.02 = 1,105.58 : x
  2. Step 2: Convert to fraction form
    1,982.22/2,975.02 = 1,105.58/x
  3. Step 3: Cross multiply
    1,982.22x = 2,975.02 × 1,105.58
  4. Step 4: Simplify right side
    1,982.22x = 3,289,122.61
  5. Step 5: Solve for x
    x = 3,289,122.61/1,982.22
  6. Step 6: Final answer
    x = 1,659.31

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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.