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Finding the Fourth Proportional to 2,375.33, 3,563.49 and 1,205.48

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Solution

The fourth proportional to 2,375.33, 3,563.49 and 1,205.48 is: 1,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.33 : 3,563.49 = 1,205.48 : x
  2. Step 2: Convert to fraction form
    2,375.33/3,563.49 = 1,205.48/x
  3. Step 3: Cross multiply
    2,375.33x = 3,563.49 × 1,205.48
  4. Step 4: Simplify right side
    2,375.33x = 4,295,729.35
  5. Step 5: Solve for x
    x = 4,295,729.35/2,375.33
  6. Step 6: Final answer
    x = 1,808.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.