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Finding the Fourth Proportional to 1,694.92, 2,336.88 and 1,297.09

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Solution

The fourth proportional to 1,694.92, 2,336.88 and 1,297.09 is: 1,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.92 : 2,336.88 = 1,297.09 : x
  2. Step 2: Convert to fraction form
    1,694.92/2,336.88 = 1,297.09/x
  3. Step 3: Cross multiply
    1,694.92x = 2,336.88 × 1,297.09
  4. Step 4: Simplify right side
    1,694.92x = 3,031,143.68
  5. Step 5: Solve for x
    x = 3,031,143.68/1,694.92
  6. Step 6: Final answer
    x = 1,788.37

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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.