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Finding the Fourth Proportional to 1,997.93, 2,996.90 and 537.05

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Solution

The fourth proportional to 1,997.93, 2,996.90 and 537.05 is: 805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.93 : 2,996.90 = 537.05 : x
  2. Step 2: Convert to fraction form
    1,997.93/2,996.90 = 537.05/x
  3. Step 3: Cross multiply
    1,997.93x = 2,996.90 × 537.05
  4. Step 4: Simplify right side
    1,997.93x = 1,609,475.11
  5. Step 5: Solve for x
    x = 1,609,475.11/1,997.93
  6. Step 6: Final answer
    x = 805.57

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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.