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Finding the Fourth Proportional to 2,676.85, 3,694.13 and 1,497.92

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Solution

The fourth proportional to 2,676.85, 3,694.13 and 1,497.92 is: 2,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.85 : 3,694.13 = 1,497.92 : x
  2. Step 2: Convert to fraction form
    2,676.85/3,694.13 = 1,497.92/x
  3. Step 3: Cross multiply
    2,676.85x = 3,694.13 × 1,497.92
  4. Step 4: Simplify right side
    2,676.85x = 5,533,496.48
  5. Step 5: Solve for x
    x = 5,533,496.48/2,676.85
  6. Step 6: Final answer
    x = 2,067.17

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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.