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Finding the Fourth Proportional to 2,516.27, 3,768.93 and 1,215

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Solution

The fourth proportional to 2,516.27, 3,768.93 and 1,215 is: 1,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.27 : 3,768.93 = 1,215 : x
  2. Step 2: Convert to fraction form
    2,516.27/3,768.93 = 1,215/x
  3. Step 3: Cross multiply
    2,516.27x = 3,768.93 × 1,215
  4. Step 4: Simplify right side
    2,516.27x = 4,579,249.95
  5. Step 5: Solve for x
    x = 4,579,249.95/2,516.27
  6. Step 6: Final answer
    x = 1,819.86

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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.