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Finding the Fourth Proportional to 2,216.40, 3,324.96 and 984.24

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Solution

The fourth proportional to 2,216.40, 3,324.96 and 984.24 is: 1,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.40 : 3,324.96 = 984.24 : x
  2. Step 2: Convert to fraction form
    2,216.40/3,324.96 = 984.24/x
  3. Step 3: Cross multiply
    2,216.40x = 3,324.96 × 984.24
  4. Step 4: Simplify right side
    2,216.40x = 3,272,558.63
  5. Step 5: Solve for x
    x = 3,272,558.63/2,216.40
  6. Step 6: Final answer
    x = 1,476.52

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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.