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Finding the Fourth Proportional to 2,216.06, 3,323.73 and 1,288.70

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Solution

The fourth proportional to 2,216.06, 3,323.73 and 1,288.70 is: 1,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.06 : 3,323.73 = 1,288.70 : x
  2. Step 2: Convert to fraction form
    2,216.06/3,323.73 = 1,288.70/x
  3. Step 3: Cross multiply
    2,216.06x = 3,323.73 × 1,288.70
  4. Step 4: Simplify right side
    2,216.06x = 4,283,290.85
  5. Step 5: Solve for x
    x = 4,283,290.85/2,216.06
  6. Step 6: Final answer
    x = 1,932.84

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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.