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Finding the Fourth Proportional to 3,224.56, 4,449.83 and 1,880.42

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Solution

The fourth proportional to 3,224.56, 4,449.83 and 1,880.42 is: 2,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.56 : 4,449.83 = 1,880.42 : x
  2. Step 2: Convert to fraction form
    3,224.56/4,449.83 = 1,880.42/x
  3. Step 3: Cross multiply
    3,224.56x = 4,449.83 × 1,880.42
  4. Step 4: Simplify right side
    3,224.56x = 8,367,549.33
  5. Step 5: Solve for x
    x = 8,367,549.33/3,224.56
  6. Step 6: Final answer
    x = 2,594.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.