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Finding the Fourth Proportional to 2,093.83, 3,126.04 and 1,729.33

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Solution

The fourth proportional to 2,093.83, 3,126.04 and 1,729.33 is: 2,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.83 : 3,126.04 = 1,729.33 : x
  2. Step 2: Convert to fraction form
    2,093.83/3,126.04 = 1,729.33/x
  3. Step 3: Cross multiply
    2,093.83x = 3,126.04 × 1,729.33
  4. Step 4: Simplify right side
    2,093.83x = 5,405,954.75
  5. Step 5: Solve for x
    x = 5,405,954.75/2,093.83
  6. Step 6: Final answer
    x = 2,581.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.