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Finding the Fourth Proportional to 2,805.93, 3,872.21 and 1,627.11

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Solution

The fourth proportional to 2,805.93, 3,872.21 and 1,627.11 is: 2,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.93 : 3,872.21 = 1,627.11 : x
  2. Step 2: Convert to fraction form
    2,805.93/3,872.21 = 1,627.11/x
  3. Step 3: Cross multiply
    2,805.93x = 3,872.21 × 1,627.11
  4. Step 4: Simplify right side
    2,805.93x = 6,300,503.48
  5. Step 5: Solve for x
    x = 6,300,503.48/2,805.93
  6. Step 6: Final answer
    x = 2,245.42

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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.