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Finding the Fourth Proportional to 2,737.36, 4,105.62 and 982.09

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Solution

The fourth proportional to 2,737.36, 4,105.62 and 982.09 is: 1,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.36 : 4,105.62 = 982.09 : x
  2. Step 2: Convert to fraction form
    2,737.36/4,105.62 = 982.09/x
  3. Step 3: Cross multiply
    2,737.36x = 4,105.62 × 982.09
  4. Step 4: Simplify right side
    2,737.36x = 4,032,093.48
  5. Step 5: Solve for x
    x = 4,032,093.48/2,737.36
  6. Step 6: Final answer
    x = 1,472.99

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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.