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Finding the Fourth Proportional to 3,226.50, 4,453.38 and 1,899.72

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Solution

The fourth proportional to 3,226.50, 4,453.38 and 1,899.72 is: 2,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.50 : 4,453.38 = 1,899.72 : x
  2. Step 2: Convert to fraction form
    3,226.50/4,453.38 = 1,899.72/x
  3. Step 3: Cross multiply
    3,226.50x = 4,453.38 × 1,899.72
  4. Step 4: Simplify right side
    3,226.50x = 8,460,175.05
  5. Step 5: Solve for x
    x = 8,460,175.05/3,226.50
  6. Step 6: Final answer
    x = 2,622.09

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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.