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Finding the Fourth Proportional to 1,994.28, 2,993.28 and 1,021.08

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Solution

The fourth proportional to 1,994.28, 2,993.28 and 1,021.08 is: 1,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.28 : 2,993.28 = 1,021.08 : x
  2. Step 2: Convert to fraction form
    1,994.28/2,993.28 = 1,021.08/x
  3. Step 3: Cross multiply
    1,994.28x = 2,993.28 × 1,021.08
  4. Step 4: Simplify right side
    1,994.28x = 3,056,378.34
  5. Step 5: Solve for x
    x = 3,056,378.34/1,994.28
  6. Step 6: Final answer
    x = 1,532.57

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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.