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Finding the Fourth Proportional to 2,473.62, 3,704.85 and 1,736.52

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Solution

The fourth proportional to 2,473.62, 3,704.85 and 1,736.52 is: 2,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.62 : 3,704.85 = 1,736.52 : x
  2. Step 2: Convert to fraction form
    2,473.62/3,704.85 = 1,736.52/x
  3. Step 3: Cross multiply
    2,473.62x = 3,704.85 × 1,736.52
  4. Step 4: Simplify right side
    2,473.62x = 6,433,546.12
  5. Step 5: Solve for x
    x = 6,433,546.12/2,473.62
  6. Step 6: Final answer
    x = 2,600.86

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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.