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Finding the Fourth Proportional to 2,676.97, 4,015.41 and 729.17

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Solution

The fourth proportional to 2,676.97, 4,015.41 and 729.17 is: 1,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.97 : 4,015.41 = 729.17 : x
  2. Step 2: Convert to fraction form
    2,676.97/4,015.41 = 729.17/x
  3. Step 3: Cross multiply
    2,676.97x = 4,015.41 × 729.17
  4. Step 4: Simplify right side
    2,676.97x = 2,927,896.43
  5. Step 5: Solve for x
    x = 2,927,896.43/2,676.97
  6. Step 6: Final answer
    x = 1,093.74

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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.