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Finding the Fourth Proportional to 2,704.59, 3,728.97 and 2,257.11

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Solution

The fourth proportional to 2,704.59, 3,728.97 and 2,257.11 is: 3,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.59 : 3,728.97 = 2,257.11 : x
  2. Step 2: Convert to fraction form
    2,704.59/3,728.97 = 2,257.11/x
  3. Step 3: Cross multiply
    2,704.59x = 3,728.97 × 2,257.11
  4. Step 4: Simplify right side
    2,704.59x = 8,416,695.48
  5. Step 5: Solve for x
    x = 8,416,695.48/2,704.59
  6. Step 6: Final answer
    x = 3,112.00

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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.