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Finding the Fourth Proportional to 2,299.04, 3,448.22 and 982.96

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Solution

The fourth proportional to 2,299.04, 3,448.22 and 982.96 is: 1,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.04 : 3,448.22 = 982.96 : x
  2. Step 2: Convert to fraction form
    2,299.04/3,448.22 = 982.96/x
  3. Step 3: Cross multiply
    2,299.04x = 3,448.22 × 982.96
  4. Step 4: Simplify right side
    2,299.04x = 3,389,462.33
  5. Step 5: Solve for x
    x = 3,389,462.33/2,299.04
  6. Step 6: Final answer
    x = 1,474.29

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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.