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Finding the Fourth Proportional to 2,217.22, 3,326.61 and 984.52

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Solution

The fourth proportional to 2,217.22, 3,326.61 and 984.52 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.22 : 3,326.61 = 984.52 : x
  2. Step 2: Convert to fraction form
    2,217.22/3,326.61 = 984.52/x
  3. Step 3: Cross multiply
    2,217.22x = 3,326.61 × 984.52
  4. Step 4: Simplify right side
    2,217.22x = 3,275,097.44
  5. Step 5: Solve for x
    x = 3,275,097.44/2,217.22
  6. Step 6: Final answer
    x = 1,477.12

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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.