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Finding the Fourth Proportional to 1,996.81, 2,995.27 and 535.96

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Solution

The fourth proportional to 1,996.81, 2,995.27 and 535.96 is: 803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.81 : 2,995.27 = 535.96 : x
  2. Step 2: Convert to fraction form
    1,996.81/2,995.27 = 535.96/x
  3. Step 3: Cross multiply
    1,996.81x = 2,995.27 × 535.96
  4. Step 4: Simplify right side
    1,996.81x = 1,605,347.31
  5. Step 5: Solve for x
    x = 1,605,347.31/1,996.81
  6. Step 6: Final answer
    x = 803.96

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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.