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Finding the Fourth Proportional to 2,758.09, 3,805.83 and 1,639.05

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Solution

The fourth proportional to 2,758.09, 3,805.83 and 1,639.05 is: 2,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.09 : 3,805.83 = 1,639.05 : x
  2. Step 2: Convert to fraction form
    2,758.09/3,805.83 = 1,639.05/x
  3. Step 3: Cross multiply
    2,758.09x = 3,805.83 × 1,639.05
  4. Step 4: Simplify right side
    2,758.09x = 6,237,937.47
  5. Step 5: Solve for x
    x = 6,237,937.47/2,758.09
  6. Step 6: Final answer
    x = 2,261.69

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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.