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Finding the Fourth Proportional to 2,375.72, 3,563.50 and 733.42

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Solution

The fourth proportional to 2,375.72, 3,563.50 and 733.42 is: 1,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.72 : 3,563.50 = 733.42 : x
  2. Step 2: Convert to fraction form
    2,375.72/3,563.50 = 733.42/x
  3. Step 3: Cross multiply
    2,375.72x = 3,563.50 × 733.42
  4. Step 4: Simplify right side
    2,375.72x = 2,613,542.17
  5. Step 5: Solve for x
    x = 2,613,542.17/2,375.72
  6. Step 6: Final answer
    x = 1,100.11

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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.