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Finding the Fourth Proportional to 2,723.82, 3,760.08 and 1,840.14

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Solution

The fourth proportional to 2,723.82, 3,760.08 and 1,840.14 is: 2,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.82 : 3,760.08 = 1,840.14 : x
  2. Step 2: Convert to fraction form
    2,723.82/3,760.08 = 1,840.14/x
  3. Step 3: Cross multiply
    2,723.82x = 3,760.08 × 1,840.14
  4. Step 4: Simplify right side
    2,723.82x = 6,919,073.61
  5. Step 5: Solve for x
    x = 6,919,073.61/2,723.82
  6. Step 6: Final answer
    x = 2,540.21

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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.