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Finding the Fourth Proportional to 2,216.85, 3,321.63 and 1,436.82

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Solution

The fourth proportional to 2,216.85, 3,321.63 and 1,436.82 is: 2,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.85 : 3,321.63 = 1,436.82 : x
  2. Step 2: Convert to fraction form
    2,216.85/3,321.63 = 1,436.82/x
  3. Step 3: Cross multiply
    2,216.85x = 3,321.63 × 1,436.82
  4. Step 4: Simplify right side
    2,216.85x = 4,772,584.42
  5. Step 5: Solve for x
    x = 4,772,584.42/2,216.85
  6. Step 6: Final answer
    x = 2,152.87

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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.