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Finding the Fourth Proportional to 2,721.94, 3,758.49 and 2,189.14

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Solution

The fourth proportional to 2,721.94, 3,758.49 and 2,189.14 is: 3,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.94 : 3,758.49 = 2,189.14 : x
  2. Step 2: Convert to fraction form
    2,721.94/3,758.49 = 2,189.14/x
  3. Step 3: Cross multiply
    2,721.94x = 3,758.49 × 2,189.14
  4. Step 4: Simplify right side
    2,721.94x = 8,227,851.40
  5. Step 5: Solve for x
    x = 8,227,851.40/2,721.94
  6. Step 6: Final answer
    x = 3,022.79

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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.