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Finding the Fourth Proportional to 1,694.57, 2,335.77 and 1,196.42

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Solution

The fourth proportional to 1,694.57, 2,335.77 and 1,196.42 is: 1,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.57 : 2,335.77 = 1,196.42 : x
  2. Step 2: Convert to fraction form
    1,694.57/2,335.77 = 1,196.42/x
  3. Step 3: Cross multiply
    1,694.57x = 2,335.77 × 1,196.42
  4. Step 4: Simplify right side
    1,694.57x = 2,794,550.26
  5. Step 5: Solve for x
    x = 2,794,550.26/1,694.57
  6. Step 6: Final answer
    x = 1,649.13

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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.