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Finding the Fourth Proportional to 2,690.96, 4,039.94 and 2,075.09

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Solution

The fourth proportional to 2,690.96, 4,039.94 and 2,075.09 is: 3,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.96 : 4,039.94 = 2,075.09 : x
  2. Step 2: Convert to fraction form
    2,690.96/4,039.94 = 2,075.09/x
  3. Step 3: Cross multiply
    2,690.96x = 4,039.94 × 2,075.09
  4. Step 4: Simplify right side
    2,690.96x = 8,383,224.08
  5. Step 5: Solve for x
    x = 8,383,224.08/2,690.96
  6. Step 6: Final answer
    x = 3,115.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.