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Finding the Fourth Proportional to 3,382.70, 5,075.68 and 1,192.46

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Solution

The fourth proportional to 3,382.70, 5,075.68 and 1,192.46 is: 1,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.70 : 5,075.68 = 1,192.46 : x
  2. Step 2: Convert to fraction form
    3,382.70/5,075.68 = 1,192.46/x
  3. Step 3: Cross multiply
    3,382.70x = 5,075.68 × 1,192.46
  4. Step 4: Simplify right side
    3,382.70x = 6,052,555.08
  5. Step 5: Solve for x
    x = 6,052,555.08/3,382.70
  6. Step 6: Final answer
    x = 1,789.27

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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.