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Finding the Fourth Proportional to 2,217.26, 3,326.20 and 984.64

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Solution

The fourth proportional to 2,217.26, 3,326.20 and 984.64 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.26 : 3,326.20 = 984.64 : x
  2. Step 2: Convert to fraction form
    2,217.26/3,326.20 = 984.64/x
  3. Step 3: Cross multiply
    2,217.26x = 3,326.20 × 984.64
  4. Step 4: Simplify right side
    2,217.26x = 3,275,109.57
  5. Step 5: Solve for x
    x = 3,275,109.57/2,217.26
  6. Step 6: Final answer
    x = 1,477.10

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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.