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Finding the Fourth Proportional to 2,767.69, 4,144.21 and 2,282.91

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Solution

The fourth proportional to 2,767.69, 4,144.21 and 2,282.91 is: 3,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.69 : 4,144.21 = 2,282.91 : x
  2. Step 2: Convert to fraction form
    2,767.69/4,144.21 = 2,282.91/x
  3. Step 3: Cross multiply
    2,767.69x = 4,144.21 × 2,282.91
  4. Step 4: Simplify right side
    2,767.69x = 9,460,858.45
  5. Step 5: Solve for x
    x = 9,460,858.45/2,767.69
  6. Step 6: Final answer
    x = 3,418.32

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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.