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Finding the Fourth Proportional to 2,443.05, 3,664.75 and 982.21

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Solution

The fourth proportional to 2,443.05, 3,664.75 and 982.21 is: 1,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.05 : 3,664.75 = 982.21 : x
  2. Step 2: Convert to fraction form
    2,443.05/3,664.75 = 982.21/x
  3. Step 3: Cross multiply
    2,443.05x = 3,664.75 × 982.21
  4. Step 4: Simplify right side
    2,443.05x = 3,599,535.77
  5. Step 5: Solve for x
    x = 3,599,535.77/2,443.05
  6. Step 6: Final answer
    x = 1,473.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.