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Finding the Fourth Proportional to 2,512.54, 3,767.05 and 952.63

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Solution

The fourth proportional to 2,512.54, 3,767.05 and 952.63 is: 1,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.54 : 3,767.05 = 952.63 : x
  2. Step 2: Convert to fraction form
    2,512.54/3,767.05 = 952.63/x
  3. Step 3: Cross multiply
    2,512.54x = 3,767.05 × 952.63
  4. Step 4: Simplify right side
    2,512.54x = 3,588,604.84
  5. Step 5: Solve for x
    x = 3,588,604.84/2,512.54
  6. Step 6: Final answer
    x = 1,428.28

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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.