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Finding the Fourth Proportional to 2,768.57, 4,171.94 and 2,508.56

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Solution

The fourth proportional to 2,768.57, 4,171.94 and 2,508.56 is: 3,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.57 : 4,171.94 = 2,508.56 : x
  2. Step 2: Convert to fraction form
    2,768.57/4,171.94 = 2,508.56/x
  3. Step 3: Cross multiply
    2,768.57x = 4,171.94 × 2,508.56
  4. Step 4: Simplify right side
    2,768.57x = 10,465,540.95
  5. Step 5: Solve for x
    x = 10,465,540.95/2,768.57
  6. Step 6: Final answer
    x = 3,780.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.