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Finding the Fourth Proportional to 2,729.06, 3,768.51 and 2,029.22

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Solution

The fourth proportional to 2,729.06, 3,768.51 and 2,029.22 is: 2,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.06 : 3,768.51 = 2,029.22 : x
  2. Step 2: Convert to fraction form
    2,729.06/3,768.51 = 2,029.22/x
  3. Step 3: Cross multiply
    2,729.06x = 3,768.51 × 2,029.22
  4. Step 4: Simplify right side
    2,729.06x = 7,647,135.86
  5. Step 5: Solve for x
    x = 7,647,135.86/2,729.06
  6. Step 6: Final answer
    x = 2,802.11

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