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Finding the Fourth Proportional to 1,997.39, 2,756.34 and 1,157.55

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Solution

The fourth proportional to 1,997.39, 2,756.34 and 1,157.55 is: 1,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.39 : 2,756.34 = 1,157.55 : x
  2. Step 2: Convert to fraction form
    1,997.39/2,756.34 = 1,157.55/x
  3. Step 3: Cross multiply
    1,997.39x = 2,756.34 × 1,157.55
  4. Step 4: Simplify right side
    1,997.39x = 3,190,601.37
  5. Step 5: Solve for x
    x = 3,190,601.37/1,997.39
  6. Step 6: Final answer
    x = 1,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.