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Finding the Fourth Proportional to 2,255.97, 3,380.76 and 1,020.32

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Solution

The fourth proportional to 2,255.97, 3,380.76 and 1,020.32 is: 1,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.97 : 3,380.76 = 1,020.32 : x
  2. Step 2: Convert to fraction form
    2,255.97/3,380.76 = 1,020.32/x
  3. Step 3: Cross multiply
    2,255.97x = 3,380.76 × 1,020.32
  4. Step 4: Simplify right side
    2,255.97x = 3,449,457.04
  5. Step 5: Solve for x
    x = 3,449,457.04/2,255.97
  6. Step 6: Final answer
    x = 1,529.03

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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.