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Finding the Fourth Proportional to 2,677.40, 3,694.64 and 1,498.44

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Solution

The fourth proportional to 2,677.40, 3,694.64 and 1,498.44 is: 2,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.40 : 3,694.64 = 1,498.44 : x
  2. Step 2: Convert to fraction form
    2,677.40/3,694.64 = 1,498.44/x
  3. Step 3: Cross multiply
    2,677.40x = 3,694.64 × 1,498.44
  4. Step 4: Simplify right side
    2,677.40x = 5,536,196.36
  5. Step 5: Solve for x
    x = 5,536,196.36/2,677.40
  6. Step 6: Final answer
    x = 2,067.75

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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.