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Finding the Fourth Proportional to 2,704.62, 3,731.19 and 1,584.99

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Solution

The fourth proportional to 2,704.62, 3,731.19 and 1,584.99 is: 2,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.62 : 3,731.19 = 1,584.99 : x
  2. Step 2: Convert to fraction form
    2,704.62/3,731.19 = 1,584.99/x
  3. Step 3: Cross multiply
    2,704.62x = 3,731.19 × 1,584.99
  4. Step 4: Simplify right side
    2,704.62x = 5,913,898.84
  5. Step 5: Solve for x
    x = 5,913,898.84/2,704.62
  6. Step 6: Final answer
    x = 2,186.59

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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.