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Finding the Fourth Proportional to 2,729.06, 4,093.77 and 997.22

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Solution

The fourth proportional to 2,729.06, 4,093.77 and 997.22 is: 1,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.06 : 4,093.77 = 997.22 : x
  2. Step 2: Convert to fraction form
    2,729.06/4,093.77 = 997.22/x
  3. Step 3: Cross multiply
    2,729.06x = 4,093.77 × 997.22
  4. Step 4: Simplify right side
    2,729.06x = 4,082,368.85
  5. Step 5: Solve for x
    x = 4,082,368.85/2,729.06
  6. Step 6: Final answer
    x = 1,495.89

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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.