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Finding the Fourth Proportional to 1,768.44, 2,440.26 and 1,022.28

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Solution

The fourth proportional to 1,768.44, 2,440.26 and 1,022.28 is: 1,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.44 : 2,440.26 = 1,022.28 : x
  2. Step 2: Convert to fraction form
    1,768.44/2,440.26 = 1,022.28/x
  3. Step 3: Cross multiply
    1,768.44x = 2,440.26 × 1,022.28
  4. Step 4: Simplify right side
    1,768.44x = 2,494,628.99
  5. Step 5: Solve for x
    x = 2,494,628.99/1,768.44
  6. Step 6: Final answer
    x = 1,410.64

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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.