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Finding the Fourth Proportional to 2,072.61, 3,103.61 and 1,147.14

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Solution

The fourth proportional to 2,072.61, 3,103.61 and 1,147.14 is: 1,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.61 : 3,103.61 = 1,147.14 : x
  2. Step 2: Convert to fraction form
    2,072.61/3,103.61 = 1,147.14/x
  3. Step 3: Cross multiply
    2,072.61x = 3,103.61 × 1,147.14
  4. Step 4: Simplify right side
    2,072.61x = 3,560,269.44
  5. Step 5: Solve for x
    x = 3,560,269.44/2,072.61
  6. Step 6: Final answer
    x = 1,717.77

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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.