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Finding the Fourth Proportional to 1,997.31, 2,995.76 and 536.27

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Solution

The fourth proportional to 1,997.31, 2,995.76 and 536.27 is: 804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.31 : 2,995.76 = 536.27 : x
  2. Step 2: Convert to fraction form
    1,997.31/2,995.76 = 536.27/x
  3. Step 3: Cross multiply
    1,997.31x = 2,995.76 × 536.27
  4. Step 4: Simplify right side
    1,997.31x = 1,606,526.04
  5. Step 5: Solve for x
    x = 1,606,526.04/1,997.31
  6. Step 6: Final answer
    x = 804.35

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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.