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Finding the Fourth Proportional to 2,975.97, 4,107.26 and 2,266.82

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Solution

The fourth proportional to 2,975.97, 4,107.26 and 2,266.82 is: 3,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.97 : 4,107.26 = 2,266.82 : x
  2. Step 2: Convert to fraction form
    2,975.97/4,107.26 = 2,266.82/x
  3. Step 3: Cross multiply
    2,975.97x = 4,107.26 × 2,266.82
  4. Step 4: Simplify right side
    2,975.97x = 9,310,387.24
  5. Step 5: Solve for x
    x = 9,310,387.24/2,975.97
  6. Step 6: Final answer
    x = 3,128.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.