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Finding the Fourth Proportional to 2,297.36, 3,441.24 and 2,020.07

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Solution

The fourth proportional to 2,297.36, 3,441.24 and 2,020.07 is: 3,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.36 : 3,441.24 = 2,020.07 : x
  2. Step 2: Convert to fraction form
    2,297.36/3,441.24 = 2,020.07/x
  3. Step 3: Cross multiply
    2,297.36x = 3,441.24 × 2,020.07
  4. Step 4: Simplify right side
    2,297.36x = 6,951,554.29
  5. Step 5: Solve for x
    x = 6,951,554.29/2,297.36
  6. Step 6: Final answer
    x = 3,025.88

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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.