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Finding the Fourth Proportional to 1,768.37, 2,440.42 and 982.41

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Solution

The fourth proportional to 1,768.37, 2,440.42 and 982.41 is: 1,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.37 : 2,440.42 = 982.41 : x
  2. Step 2: Convert to fraction form
    1,768.37/2,440.42 = 982.41/x
  3. Step 3: Cross multiply
    1,768.37x = 2,440.42 × 982.41
  4. Step 4: Simplify right side
    1,768.37x = 2,397,490.56
  5. Step 5: Solve for x
    x = 2,397,490.56/1,768.37
  6. Step 6: Final answer
    x = 1,355.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.