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Finding the Fourth Proportional to 2,707.14, 3,736.56 and 2,426.88

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Solution

The fourth proportional to 2,707.14, 3,736.56 and 2,426.88 is: 3,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.14 : 3,736.56 = 2,426.88 : x
  2. Step 2: Convert to fraction form
    2,707.14/3,736.56 = 2,426.88/x
  3. Step 3: Cross multiply
    2,707.14x = 3,736.56 × 2,426.88
  4. Step 4: Simplify right side
    2,707.14x = 9,068,182.73
  5. Step 5: Solve for x
    x = 9,068,182.73/2,707.14
  6. Step 6: Final answer
    x = 3,349.73

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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.