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Finding the Fourth Proportional to 2,496.33, 3,441.74 and 2,046.57

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Solution

The fourth proportional to 2,496.33, 3,441.74 and 2,046.57 is: 2,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.33 : 3,441.74 = 2,046.57 : x
  2. Step 2: Convert to fraction form
    2,496.33/3,441.74 = 2,046.57/x
  3. Step 3: Cross multiply
    2,496.33x = 3,441.74 × 2,046.57
  4. Step 4: Simplify right side
    2,496.33x = 7,043,755.44
  5. Step 5: Solve for x
    x = 7,043,755.44/2,496.33
  6. Step 6: Final answer
    x = 2,821.64

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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.