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Finding the Fourth Proportional to 2,676.74, 3,694.00 and 1,497.82

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Solution

The fourth proportional to 2,676.74, 3,694.00 and 1,497.82 is: 2,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.74 : 3,694.00 = 1,497.82 : x
  2. Step 2: Convert to fraction form
    2,676.74/3,694.00 = 1,497.82/x
  3. Step 3: Cross multiply
    2,676.74x = 3,694.00 × 1,497.82
  4. Step 4: Simplify right side
    2,676.74x = 5,532,939.72
  5. Step 5: Solve for x
    x = 5,532,939.72/2,676.74
  6. Step 6: Final answer
    x = 2,067.05

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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.