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Finding the Fourth Proportional to 2,234.98, 3,083.96 and 1,290.88

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Solution

The fourth proportional to 2,234.98, 3,083.96 and 1,290.88 is: 1,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.98 : 3,083.96 = 1,290.88 : x
  2. Step 2: Convert to fraction form
    2,234.98/3,083.96 = 1,290.88/x
  3. Step 3: Cross multiply
    2,234.98x = 3,083.96 × 1,290.88
  4. Step 4: Simplify right side
    2,234.98x = 3,981,022.28
  5. Step 5: Solve for x
    x = 3,981,022.28/2,234.98
  6. Step 6: Final answer
    x = 1,781.23

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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.