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Finding the Fourth Proportional to 2,805.24, 3,872.85 and 1,811.97

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Solution

The fourth proportional to 2,805.24, 3,872.85 and 1,811.97 is: 2,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.24 : 3,872.85 = 1,811.97 : x
  2. Step 2: Convert to fraction form
    2,805.24/3,872.85 = 1,811.97/x
  3. Step 3: Cross multiply
    2,805.24x = 3,872.85 × 1,811.97
  4. Step 4: Simplify right side
    2,805.24x = 7,017,488.01
  5. Step 5: Solve for x
    x = 7,017,488.01/2,805.24
  6. Step 6: Final answer
    x = 2,501.56

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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.