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Finding the Fourth Proportional to 3,194.66, 4,406.15 and 2,075.96

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Solution

The fourth proportional to 3,194.66, 4,406.15 and 2,075.96 is: 2,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.66 : 4,406.15 = 2,075.96 : x
  2. Step 2: Convert to fraction form
    3,194.66/4,406.15 = 2,075.96/x
  3. Step 3: Cross multiply
    3,194.66x = 4,406.15 × 2,075.96
  4. Step 4: Simplify right side
    3,194.66x = 9,147,007.36
  5. Step 5: Solve for x
    x = 9,147,007.36/3,194.66
  6. Step 6: Final answer
    x = 2,863.22

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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.