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Finding the Fourth Proportional to 1,997.42, 2,994.24 and 1,071.59

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Solution

The fourth proportional to 1,997.42, 2,994.24 and 1,071.59 is: 1,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.42 : 2,994.24 = 1,071.59 : x
  2. Step 2: Convert to fraction form
    1,997.42/2,994.24 = 1,071.59/x
  3. Step 3: Cross multiply
    1,997.42x = 2,994.24 × 1,071.59
  4. Step 4: Simplify right side
    1,997.42x = 3,208,597.64
  5. Step 5: Solve for x
    x = 3,208,597.64/1,997.42
  6. Step 6: Final answer
    x = 1,606.37

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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.