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Finding the Fourth Proportional to 2,523.25, 3,783.51 and 961.82

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Solution

The fourth proportional to 2,523.25, 3,783.51 and 961.82 is: 1,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.25 : 3,783.51 = 961.82 : x
  2. Step 2: Convert to fraction form
    2,523.25/3,783.51 = 961.82/x
  3. Step 3: Cross multiply
    2,523.25x = 3,783.51 × 961.82
  4. Step 4: Simplify right side
    2,523.25x = 3,639,072.14
  5. Step 5: Solve for x
    x = 3,639,072.14/2,523.25
  6. Step 6: Final answer
    x = 1,442.22

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