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Finding the Fourth Proportional to 2,758.50, 3,806.82 and 1,516.50

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Solution

The fourth proportional to 2,758.50, 3,806.82 and 1,516.50 is: 2,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.50 : 3,806.82 = 1,516.50 : x
  2. Step 2: Convert to fraction form
    2,758.50/3,806.82 = 1,516.50/x
  3. Step 3: Cross multiply
    2,758.50x = 3,806.82 × 1,516.50
  4. Step 4: Simplify right side
    2,758.50x = 5,773,042.53
  5. Step 5: Solve for x
    x = 5,773,042.53/2,758.50
  6. Step 6: Final answer
    x = 2,092.82

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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.