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Finding the Fourth Proportional to 2,676.98, 3,694.24 and 1,497.96

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Solution

The fourth proportional to 2,676.98, 3,694.24 and 1,497.96 is: 2,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.98 : 3,694.24 = 1,497.96 : x
  2. Step 2: Convert to fraction form
    2,676.98/3,694.24 = 1,497.96/x
  3. Step 3: Cross multiply
    2,676.98x = 3,694.24 × 1,497.96
  4. Step 4: Simplify right side
    2,676.98x = 5,533,823.75
  5. Step 5: Solve for x
    x = 5,533,823.75/2,676.98
  6. Step 6: Final answer
    x = 2,067.19

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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.