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Finding the Fourth Proportional to 2,516.88, 3,778.56 and 2,134.56

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Solution

The fourth proportional to 2,516.88, 3,778.56 and 2,134.56 is: 3,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.88 : 3,778.56 = 2,134.56 : x
  2. Step 2: Convert to fraction form
    2,516.88/3,778.56 = 2,134.56/x
  3. Step 3: Cross multiply
    2,516.88x = 3,778.56 × 2,134.56
  4. Step 4: Simplify right side
    2,516.88x = 8,065,563.03
  5. Step 5: Solve for x
    x = 8,065,563.03/2,516.88
  6. Step 6: Final answer
    x = 3,204.59

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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.