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Finding the Fourth Proportional to 2,216.67, 3,321.51 and 1,289.89

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Solution

The fourth proportional to 2,216.67, 3,321.51 and 1,289.89 is: 1,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.67 : 3,321.51 = 1,289.89 : x
  2. Step 2: Convert to fraction form
    2,216.67/3,321.51 = 1,289.89/x
  3. Step 3: Cross multiply
    2,216.67x = 3,321.51 × 1,289.89
  4. Step 4: Simplify right side
    2,216.67x = 4,284,382.53
  5. Step 5: Solve for x
    x = 4,284,382.53/2,216.67
  6. Step 6: Final answer
    x = 1,932.80

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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.