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Finding the Fourth Proportional to 2,805.37, 3,870.74 and 1,626.21

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Solution

The fourth proportional to 2,805.37, 3,870.74 and 1,626.21 is: 2,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.37 : 3,870.74 = 1,626.21 : x
  2. Step 2: Convert to fraction form
    2,805.37/3,870.74 = 1,626.21/x
  3. Step 3: Cross multiply
    2,805.37x = 3,870.74 × 1,626.21
  4. Step 4: Simplify right side
    2,805.37x = 6,294,640.16
  5. Step 5: Solve for x
    x = 6,294,640.16/2,805.37
  6. Step 6: Final answer
    x = 2,243.78

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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.