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Finding the Fourth Proportional to 2,216.73, 3,323.97 and 984.52

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Solution

The fourth proportional to 2,216.73, 3,323.97 and 984.52 is: 1,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.73 : 3,323.97 = 984.52 : x
  2. Step 2: Convert to fraction form
    2,216.73/3,323.97 = 984.52/x
  3. Step 3: Cross multiply
    2,216.73x = 3,323.97 × 984.52
  4. Step 4: Simplify right side
    2,216.73x = 3,272,506.63
  5. Step 5: Solve for x
    x = 3,272,506.63/2,216.73
  6. Step 6: Final answer
    x = 1,476.28

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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.