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Finding the Fourth Proportional to 2,194.69, 3,291.90 and 896.26

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Solution

The fourth proportional to 2,194.69, 3,291.90 and 896.26 is: 1,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.69 : 3,291.90 = 896.26 : x
  2. Step 2: Convert to fraction form
    2,194.69/3,291.90 = 896.26/x
  3. Step 3: Cross multiply
    2,194.69x = 3,291.90 × 896.26
  4. Step 4: Simplify right side
    2,194.69x = 2,950,398.29
  5. Step 5: Solve for x
    x = 2,950,398.29/2,194.69
  6. Step 6: Final answer
    x = 1,344.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.