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Finding the Fourth Proportional to 2,452.26, 3,678.75 and 892.38

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Solution

The fourth proportional to 2,452.26, 3,678.75 and 892.38 is: 1,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.26 : 3,678.75 = 892.38 : x
  2. Step 2: Convert to fraction form
    2,452.26/3,678.75 = 892.38/x
  3. Step 3: Cross multiply
    2,452.26x = 3,678.75 × 892.38
  4. Step 4: Simplify right side
    2,452.26x = 3,282,842.93
  5. Step 5: Solve for x
    x = 3,282,842.93/2,452.26
  6. Step 6: Final answer
    x = 1,338.70

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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.