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Finding the Fourth Proportional to 3,224.44, 4,450.74 and 1,828.12

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Solution

The fourth proportional to 3,224.44, 4,450.74 and 1,828.12 is: 2,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.44 : 4,450.74 = 1,828.12 : x
  2. Step 2: Convert to fraction form
    3,224.44/4,450.74 = 1,828.12/x
  3. Step 3: Cross multiply
    3,224.44x = 4,450.74 × 1,828.12
  4. Step 4: Simplify right side
    3,224.44x = 8,136,486.81
  5. Step 5: Solve for x
    x = 8,136,486.81/3,224.44
  6. Step 6: Final answer
    x = 2,523.38

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1.5x scale

Why These Related Problems?

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