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Finding the Fourth Proportional to 2,690.98, 3,704.97 and 2,296.42

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Solution

The fourth proportional to 2,690.98, 3,704.97 and 2,296.42 is: 3,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.98 : 3,704.97 = 2,296.42 : x
  2. Step 2: Convert to fraction form
    2,690.98/3,704.97 = 2,296.42/x
  3. Step 3: Cross multiply
    2,690.98x = 3,704.97 × 2,296.42
  4. Step 4: Simplify right side
    2,690.98x = 8,508,167.21
  5. Step 5: Solve for x
    x = 8,508,167.21/2,690.98
  6. Step 6: Final answer
    x = 3,161.74

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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.