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Finding the Fourth Proportional to 2,708.64, 3,736.80 and 1,824.73

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Solution

The fourth proportional to 2,708.64, 3,736.80 and 1,824.73 is: 2,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.64 : 3,736.80 = 1,824.73 : x
  2. Step 2: Convert to fraction form
    2,708.64/3,736.80 = 1,824.73/x
  3. Step 3: Cross multiply
    2,708.64x = 3,736.80 × 1,824.73
  4. Step 4: Simplify right side
    2,708.64x = 6,818,641.72
  5. Step 5: Solve for x
    x = 6,818,641.72/2,708.64
  6. Step 6: Final answer
    x = 2,517.37

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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.