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Finding the Fourth Proportional to 1,768.84, 2,440.96 and 982.84

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Solution

The fourth proportional to 1,768.84, 2,440.96 and 982.84 is: 1,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.84 : 2,440.96 = 982.84 : x
  2. Step 2: Convert to fraction form
    1,768.84/2,440.96 = 982.84/x
  3. Step 3: Cross multiply
    1,768.84x = 2,440.96 × 982.84
  4. Step 4: Simplify right side
    1,768.84x = 2,399,073.13
  5. Step 5: Solve for x
    x = 2,399,073.13/1,768.84
  6. Step 6: Final answer
    x = 1,356.30

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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.