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Finding the Fourth Proportional to 2,758.26, 3,805.74 and 1,639.20

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Solution

The fourth proportional to 2,758.26, 3,805.74 and 1,639.20 is: 2,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.26 : 3,805.74 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    2,758.26/3,805.74 = 1,639.20/x
  3. Step 3: Cross multiply
    2,758.26x = 3,805.74 × 1,639.20
  4. Step 4: Simplify right side
    2,758.26x = 6,238,369.01
  5. Step 5: Solve for x
    x = 6,238,369.01/2,758.26
  6. Step 6: Final answer
    x = 2,261.70

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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.