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Finding the Fourth Proportional to 2,704.61, 3,728.98 and 2,257.13

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Solution

The fourth proportional to 2,704.61, 3,728.98 and 2,257.13 is: 3,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.61 : 3,728.98 = 2,257.13 : x
  2. Step 2: Convert to fraction form
    2,704.61/3,728.98 = 2,257.13/x
  3. Step 3: Cross multiply
    2,704.61x = 3,728.98 × 2,257.13
  4. Step 4: Simplify right side
    2,704.61x = 8,416,773.98
  5. Step 5: Solve for x
    x = 8,416,773.98/2,704.61
  6. Step 6: Final answer
    x = 3,112.01

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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.