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Finding the Fourth Proportional to 1,768.07, 2,439.82 and 982.11

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Solution

The fourth proportional to 1,768.07, 2,439.82 and 982.11 is: 1,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.07 : 2,439.82 = 982.11 : x
  2. Step 2: Convert to fraction form
    1,768.07/2,439.82 = 982.11/x
  3. Step 3: Cross multiply
    1,768.07x = 2,439.82 × 982.11
  4. Step 4: Simplify right side
    1,768.07x = 2,396,169.16
  5. Step 5: Solve for x
    x = 2,396,169.16/1,768.07
  6. Step 6: Final answer
    x = 1,355.25

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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.