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Finding the Fourth Proportional to 3,224.89, 4,450.26 and 1,880.81

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Solution

The fourth proportional to 3,224.89, 4,450.26 and 1,880.81 is: 2,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.89 : 4,450.26 = 1,880.81 : x
  2. Step 2: Convert to fraction form
    3,224.89/4,450.26 = 1,880.81/x
  3. Step 3: Cross multiply
    3,224.89x = 4,450.26 × 1,880.81
  4. Step 4: Simplify right side
    3,224.89x = 8,370,093.51
  5. Step 5: Solve for x
    x = 8,370,093.51/3,224.89
  6. Step 6: Final answer
    x = 2,595.47

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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.