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Finding the Fourth Proportional to 3,000.22, 4,142.24 and 1,938.46

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Solution

The fourth proportional to 3,000.22, 4,142.24 and 1,938.46 is: 2,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.22 : 4,142.24 = 1,938.46 : x
  2. Step 2: Convert to fraction form
    3,000.22/4,142.24 = 1,938.46/x
  3. Step 3: Cross multiply
    3,000.22x = 4,142.24 × 1,938.46
  4. Step 4: Simplify right side
    3,000.22x = 8,029,566.55
  5. Step 5: Solve for x
    x = 8,029,566.55/3,000.22
  6. Step 6: Final answer
    x = 2,676.33

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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.