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Finding the Fourth Proportional to 1,994.73, 2,993.64 and 1,382.73

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Solution

The fourth proportional to 1,994.73, 2,993.64 and 1,382.73 is: 2,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.73 : 2,993.64 = 1,382.73 : x
  2. Step 2: Convert to fraction form
    1,994.73/2,993.64 = 1,382.73/x
  3. Step 3: Cross multiply
    1,994.73x = 2,993.64 × 1,382.73
  4. Step 4: Simplify right side
    1,994.73x = 4,139,395.84
  5. Step 5: Solve for x
    x = 4,139,395.84/1,994.73
  6. Step 6: Final answer
    x = 2,075.17

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Why These Related Problems?

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