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Finding the Fourth Proportional to 2,630.70, 3,630.42 and 1,512

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Solution

The fourth proportional to 2,630.70, 3,630.42 and 1,512 is: 2,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.70 : 3,630.42 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,630.70/3,630.42 = 1,512/x
  3. Step 3: Cross multiply
    2,630.70x = 3,630.42 × 1,512
  4. Step 4: Simplify right side
    2,630.70x = 5,489,195.04
  5. Step 5: Solve for x
    x = 5,489,195.04/2,630.70
  6. Step 6: Final answer
    x = 2,086.59

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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.