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Finding the Fourth Proportional to 3,052.38, 4,213.30 and 2,170.74

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Solution

The fourth proportional to 3,052.38, 4,213.30 and 2,170.74 is: 2,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.38 : 4,213.30 = 2,170.74 : x
  2. Step 2: Convert to fraction form
    3,052.38/4,213.30 = 2,170.74/x
  3. Step 3: Cross multiply
    3,052.38x = 4,213.30 × 2,170.74
  4. Step 4: Simplify right side
    3,052.38x = 9,145,978.84
  5. Step 5: Solve for x
    x = 9,145,978.84/3,052.38
  6. Step 6: Final answer
    x = 2,996.34

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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.