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Finding the Fourth Proportional to 2,676.33, 3,692.75 and 2,047.57

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Solution

The fourth proportional to 2,676.33, 3,692.75 and 2,047.57 is: 2,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.33 : 3,692.75 = 2,047.57 : x
  2. Step 2: Convert to fraction form
    2,676.33/3,692.75 = 2,047.57/x
  3. Step 3: Cross multiply
    2,676.33x = 3,692.75 × 2,047.57
  4. Step 4: Simplify right side
    2,676.33x = 7,561,144.65
  5. Step 5: Solve for x
    x = 7,561,144.65/2,676.33
  6. Step 6: Final answer
    x = 2,825.19

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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.