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Finding the Fourth Proportional to 2,065.74, 3,091.17 and 1,516.56

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Solution

The fourth proportional to 2,065.74, 3,091.17 and 1,516.56 is: 2,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.74 : 3,091.17 = 1,516.56 : x
  2. Step 2: Convert to fraction form
    2,065.74/3,091.17 = 1,516.56/x
  3. Step 3: Cross multiply
    2,065.74x = 3,091.17 × 1,516.56
  4. Step 4: Simplify right side
    2,065.74x = 4,687,944.78
  5. Step 5: Solve for x
    x = 4,687,944.78/2,065.74
  6. Step 6: Final answer
    x = 2,269.38

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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.