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Finding the Fourth Proportional to 2,805.15, 3,872.50 and 2,174.25

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Solution

The fourth proportional to 2,805.15, 3,872.50 and 2,174.25 is: 3,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.15 : 3,872.50 = 2,174.25 : x
  2. Step 2: Convert to fraction form
    2,805.15/3,872.50 = 2,174.25/x
  3. Step 3: Cross multiply
    2,805.15x = 3,872.50 × 2,174.25
  4. Step 4: Simplify right side
    2,805.15x = 8,419,783.13
  5. Step 5: Solve for x
    x = 8,419,783.13/2,805.15
  6. Step 6: Final answer
    x = 3,001.54

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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.