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Finding the Fourth Proportional to 2,975.82, 4,107.15 and 1,857.21

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Solution

The fourth proportional to 2,975.82, 4,107.15 and 1,857.21 is: 2,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.82 : 4,107.15 = 1,857.21 : x
  2. Step 2: Convert to fraction form
    2,975.82/4,107.15 = 1,857.21/x
  3. Step 3: Cross multiply
    2,975.82x = 4,107.15 × 1,857.21
  4. Step 4: Simplify right side
    2,975.82x = 7,627,840.05
  5. Step 5: Solve for x
    x = 7,627,840.05/2,975.82
  6. Step 6: Final answer
    x = 2,563.27

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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.