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Finding the Fourth Proportional to 2,540.19, 3,809.82 and 1,153.19

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Solution

The fourth proportional to 2,540.19, 3,809.82 and 1,153.19 is: 1,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.19 : 3,809.82 = 1,153.19 : x
  2. Step 2: Convert to fraction form
    2,540.19/3,809.82 = 1,153.19/x
  3. Step 3: Cross multiply
    2,540.19x = 3,809.82 × 1,153.19
  4. Step 4: Simplify right side
    2,540.19x = 4,393,446.33
  5. Step 5: Solve for x
    x = 4,393,446.33/2,540.19
  6. Step 6: Final answer
    x = 1,729.57

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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.