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Finding the Fourth Proportional to 2,216.04, 3,323.25 and 982.23

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Solution

The fourth proportional to 2,216.04, 3,323.25 and 982.23 is: 1,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.04 : 3,323.25 = 982.23 : x
  2. Step 2: Convert to fraction form
    2,216.04/3,323.25 = 982.23/x
  3. Step 3: Cross multiply
    2,216.04x = 3,323.25 × 982.23
  4. Step 4: Simplify right side
    2,216.04x = 3,264,195.85
  5. Step 5: Solve for x
    x = 3,264,195.85/2,216.04
  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.