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Finding the Fourth Proportional to 1,672.57, 2,511.17 and 851.41

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Solution

The fourth proportional to 1,672.57, 2,511.17 and 851.41 is: 1,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.57 : 2,511.17 = 851.41 : x
  2. Step 2: Convert to fraction form
    1,672.57/2,511.17 = 851.41/x
  3. Step 3: Cross multiply
    1,672.57x = 2,511.17 × 851.41
  4. Step 4: Simplify right side
    1,672.57x = 2,138,035.25
  5. Step 5: Solve for x
    x = 2,138,035.25/1,672.57
  6. Step 6: Final answer
    x = 1,278.29

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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.