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Finding the Fourth Proportional to 2,706.86, 3,735.45 and 1,511.94

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Solution

The fourth proportional to 2,706.86, 3,735.45 and 1,511.94 is: 2,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.86 : 3,735.45 = 1,511.94 : x
  2. Step 2: Convert to fraction form
    2,706.86/3,735.45 = 1,511.94/x
  3. Step 3: Cross multiply
    2,706.86x = 3,735.45 × 1,511.94
  4. Step 4: Simplify right side
    2,706.86x = 5,647,776.27
  5. Step 5: Solve for x
    x = 5,647,776.27/2,706.86
  6. Step 6: Final answer
    x = 2,086.47

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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.