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Finding the Fourth Proportional to 1,996.84, 2,993.64 and 764.02

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Solution

The fourth proportional to 1,996.84, 2,993.64 and 764.02 is: 1,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.84 : 2,993.64 = 764.02 : x
  2. Step 2: Convert to fraction form
    1,996.84/2,993.64 = 764.02/x
  3. Step 3: Cross multiply
    1,996.84x = 2,993.64 × 764.02
  4. Step 4: Simplify right side
    1,996.84x = 2,287,200.83
  5. Step 5: Solve for x
    x = 2,287,200.83/1,996.84
  6. Step 6: Final answer
    x = 1,145.41

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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.