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Finding the Fourth Proportional to 2,468.61, 3,704.16 and 1,081.96

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Solution

The fourth proportional to 2,468.61, 3,704.16 and 1,081.96 is: 1,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.61 : 3,704.16 = 1,081.96 : x
  2. Step 2: Convert to fraction form
    2,468.61/3,704.16 = 1,081.96/x
  3. Step 3: Cross multiply
    2,468.61x = 3,704.16 × 1,081.96
  4. Step 4: Simplify right side
    2,468.61x = 4,007,747.75
  5. Step 5: Solve for x
    x = 4,007,747.75/2,468.61
  6. Step 6: Final answer
    x = 1,623.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.