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Finding the Fourth Proportional to 2,522.44, 3,784.26 and 767.38

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Solution

The fourth proportional to 2,522.44, 3,784.26 and 767.38 is: 1,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.44 : 3,784.26 = 767.38 : x
  2. Step 2: Convert to fraction form
    2,522.44/3,784.26 = 767.38/x
  3. Step 3: Cross multiply
    2,522.44x = 3,784.26 × 767.38
  4. Step 4: Simplify right side
    2,522.44x = 2,903,965.44
  5. Step 5: Solve for x
    x = 2,903,965.44/2,522.44
  6. Step 6: Final answer
    x = 1,151.25

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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.