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Finding the Fourth Proportional to 2,216.66, 3,323.83 and 983.54

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Solution

The fourth proportional to 2,216.66, 3,323.83 and 983.54 is: 1,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.66 : 3,323.83 = 983.54 : x
  2. Step 2: Convert to fraction form
    2,216.66/3,323.83 = 983.54/x
  3. Step 3: Cross multiply
    2,216.66x = 3,323.83 × 983.54
  4. Step 4: Simplify right side
    2,216.66x = 3,269,119.76
  5. Step 5: Solve for x
    x = 3,269,119.76/2,216.66
  6. Step 6: Final answer
    x = 1,474.80

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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.