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Finding the Fourth Proportional to 2,216.82, 3,325.31 and 983.46

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Solution

The fourth proportional to 2,216.82, 3,325.31 and 983.46 is: 1,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.82 : 3,325.31 = 983.46 : x
  2. Step 2: Convert to fraction form
    2,216.82/3,325.31 = 983.46/x
  3. Step 3: Cross multiply
    2,216.82x = 3,325.31 × 983.46
  4. Step 4: Simplify right side
    2,216.82x = 3,270,309.37
  5. Step 5: Solve for x
    x = 3,270,309.37/2,216.82
  6. Step 6: Final answer
    x = 1,475.23

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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.