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Finding the Fourth Proportional to 2,516.27, 3,773.99 and 784.89

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Solution

The fourth proportional to 2,516.27, 3,773.99 and 784.89 is: 1,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.27 : 3,773.99 = 784.89 : x
  2. Step 2: Convert to fraction form
    2,516.27/3,773.99 = 784.89/x
  3. Step 3: Cross multiply
    2,516.27x = 3,773.99 × 784.89
  4. Step 4: Simplify right side
    2,516.27x = 2,962,168.97
  5. Step 5: Solve for x
    x = 2,962,168.97/2,516.27
  6. Step 6: Final answer
    x = 1,177.21

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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.