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Finding the Fourth Proportional to 2,216.25, 3,325.05 and 656.19

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Solution

The fourth proportional to 2,216.25, 3,325.05 and 656.19 is: 984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.25 : 3,325.05 = 656.19 : x
  2. Step 2: Convert to fraction form
    2,216.25/3,325.05 = 656.19/x
  3. Step 3: Cross multiply
    2,216.25x = 3,325.05 × 656.19
  4. Step 4: Simplify right side
    2,216.25x = 2,181,864.56
  5. Step 5: Solve for x
    x = 2,181,864.56/2,216.25
  6. Step 6: Final answer
    x = 984.48

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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.