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Finding the Fourth Proportional to 2,375.73, 3,563.61 and 816.09

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Solution

The fourth proportional to 2,375.73, 3,563.61 and 816.09 is: 1,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.73 : 3,563.61 = 816.09 : x
  2. Step 2: Convert to fraction form
    2,375.73/3,563.61 = 816.09/x
  3. Step 3: Cross multiply
    2,375.73x = 3,563.61 × 816.09
  4. Step 4: Simplify right side
    2,375.73x = 2,908,226.48
  5. Step 5: Solve for x
    x = 2,908,226.48/2,375.73
  6. Step 6: Final answer
    x = 1,224.14

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Why These Related Problems?

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