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Finding the Fourth Proportional to 2,512.97, 3,769.47 and 1,213.54

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Solution

The fourth proportional to 2,512.97, 3,769.47 and 1,213.54 is: 1,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.97 : 3,769.47 = 1,213.54 : x
  2. Step 2: Convert to fraction form
    2,512.97/3,769.47 = 1,213.54/x
  3. Step 3: Cross multiply
    2,512.97x = 3,769.47 × 1,213.54
  4. Step 4: Simplify right side
    2,512.97x = 4,574,402.62
  5. Step 5: Solve for x
    x = 4,574,402.62/2,512.97
  6. Step 6: Final answer
    x = 1,820.32

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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.