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Finding the Fourth Proportional to 1,778.82, 2,454.83 and 982.19

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Solution

The fourth proportional to 1,778.82, 2,454.83 and 982.19 is: 1,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.82 : 2,454.83 = 982.19 : x
  2. Step 2: Convert to fraction form
    1,778.82/2,454.83 = 982.19/x
  3. Step 3: Cross multiply
    1,778.82x = 2,454.83 × 982.19
  4. Step 4: Simplify right side
    1,778.82x = 2,411,104.57
  5. Step 5: Solve for x
    x = 2,411,104.57/1,778.82
  6. Step 6: Final answer
    x = 1,355.45

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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.