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Finding the Fourth Proportional to 3,297.34, 4,550.38 and 1,805.23

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Solution

The fourth proportional to 3,297.34, 4,550.38 and 1,805.23 is: 2,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.34 : 4,550.38 = 1,805.23 : x
  2. Step 2: Convert to fraction form
    3,297.34/4,550.38 = 1,805.23/x
  3. Step 3: Cross multiply
    3,297.34x = 4,550.38 × 1,805.23
  4. Step 4: Simplify right side
    3,297.34x = 8,214,482.49
  5. Step 5: Solve for x
    x = 8,214,482.49/3,297.34
  6. Step 6: Final answer
    x = 2,491.25

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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.