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Finding the Fourth Proportional to 2,299.22, 3,448.09 and 982.95

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Solution

The fourth proportional to 2,299.22, 3,448.09 and 982.95 is: 1,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.22 : 3,448.09 = 982.95 : x
  2. Step 2: Convert to fraction form
    2,299.22/3,448.09 = 982.95/x
  3. Step 3: Cross multiply
    2,299.22x = 3,448.09 × 982.95
  4. Step 4: Simplify right side
    2,299.22x = 3,389,300.07
  5. Step 5: Solve for x
    x = 3,389,300.07/2,299.22
  6. Step 6: Final answer
    x = 1,474.11

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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.