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Finding the Fourth Proportional to 2,731.28, 3,742.92 and 2,468.84

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Solution

The fourth proportional to 2,731.28, 3,742.92 and 2,468.84 is: 3,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.28 : 3,742.92 = 2,468.84 : x
  2. Step 2: Convert to fraction form
    2,731.28/3,742.92 = 2,468.84/x
  3. Step 3: Cross multiply
    2,731.28x = 3,742.92 × 2,468.84
  4. Step 4: Simplify right side
    2,731.28x = 9,240,670.61
  5. Step 5: Solve for x
    x = 9,240,670.61/2,731.28
  6. Step 6: Final answer
    x = 3,383.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.