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Finding the Fourth Proportional to 2,677.35, 3,694.76 and 1,498.42

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Solution

The fourth proportional to 2,677.35, 3,694.76 and 1,498.42 is: 2,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.35 : 3,694.76 = 1,498.42 : x
  2. Step 2: Convert to fraction form
    2,677.35/3,694.76 = 1,498.42/x
  3. Step 3: Cross multiply
    2,677.35x = 3,694.76 × 1,498.42
  4. Step 4: Simplify right side
    2,677.35x = 5,536,288.46
  5. Step 5: Solve for x
    x = 5,536,288.46/2,677.35
  6. Step 6: Final answer
    x = 2,067.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.