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Finding the Fourth Proportional to 2,375.39, 3,563.46 and 731.54

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Solution

The fourth proportional to 2,375.39, 3,563.46 and 731.54 is: 1,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.39 : 3,563.46 = 731.54 : x
  2. Step 2: Convert to fraction form
    2,375.39/3,563.46 = 731.54/x
  3. Step 3: Cross multiply
    2,375.39x = 3,563.46 × 731.54
  4. Step 4: Simplify right side
    2,375.39x = 2,606,795.71
  5. Step 5: Solve for x
    x = 2,606,795.71/2,375.39
  6. Step 6: Final answer
    x = 1,097.42

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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.