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Finding the Fourth Proportional to 2,723.69, 3,760.80 and 2,093.21

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Solution

The fourth proportional to 2,723.69, 3,760.80 and 2,093.21 is: 2,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.69 : 3,760.80 = 2,093.21 : x
  2. Step 2: Convert to fraction form
    2,723.69/3,760.80 = 2,093.21/x
  3. Step 3: Cross multiply
    2,723.69x = 3,760.80 × 2,093.21
  4. Step 4: Simplify right side
    2,723.69x = 7,872,144.17
  5. Step 5: Solve for x
    x = 7,872,144.17/2,723.69
  6. Step 6: Final answer
    x = 2,890.25

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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.