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Finding the Fourth Proportional to 1,996.86, 2,995.29 and 535.96

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Solution

The fourth proportional to 1,996.86, 2,995.29 and 535.96 is: 803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.86 : 2,995.29 = 535.96 : x
  2. Step 2: Convert to fraction form
    1,996.86/2,995.29 = 535.96/x
  3. Step 3: Cross multiply
    1,996.86x = 2,995.29 × 535.96
  4. Step 4: Simplify right side
    1,996.86x = 1,605,348.14
  5. Step 5: Solve for x
    x = 1,605,348.14/1,996.86
  6. Step 6: Final answer
    x = 803.94

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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.