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Finding the Fourth Proportional to 1,768.28, 2,440.15 and 982.37

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Solution

The fourth proportional to 1,768.28, 2,440.15 and 982.37 is: 1,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.28 : 2,440.15 = 982.37 : x
  2. Step 2: Convert to fraction form
    1,768.28/2,440.15 = 982.37/x
  3. Step 3: Cross multiply
    1,768.28x = 2,440.15 × 982.37
  4. Step 4: Simplify right side
    1,768.28x = 2,397,133.80
  5. Step 5: Solve for x
    x = 2,397,133.80/1,768.28
  6. Step 6: Final answer
    x = 1,355.63

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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.