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Finding the Fourth Proportional to 2,805.89, 3,872.13 and 1,627.95

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Solution

The fourth proportional to 2,805.89, 3,872.13 and 1,627.95 is: 2,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.89 : 3,872.13 = 1,627.95 : x
  2. Step 2: Convert to fraction form
    2,805.89/3,872.13 = 1,627.95/x
  3. Step 3: Cross multiply
    2,805.89x = 3,872.13 × 1,627.95
  4. Step 4: Simplify right side
    2,805.89x = 6,303,625.25
  5. Step 5: Solve for x
    x = 6,303,625.25/2,805.89
  6. Step 6: Final answer
    x = 2,246.57

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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.