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Finding the Fourth Proportional to 2,540.13, 3,809.21 and 896.37

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Solution

The fourth proportional to 2,540.13, 3,809.21 and 896.37 is: 1,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.13 : 3,809.21 = 896.37 : x
  2. Step 2: Convert to fraction form
    2,540.13/3,809.21 = 896.37/x
  3. Step 3: Cross multiply
    2,540.13x = 3,809.21 × 896.37
  4. Step 4: Simplify right side
    2,540.13x = 3,414,457.09
  5. Step 5: Solve for x
    x = 3,414,457.09/2,540.13
  6. Step 6: Final answer
    x = 1,344.21

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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.