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Finding the Fourth Proportional to 2,516.81, 3,770.75 and 2,262.47

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Solution

The fourth proportional to 2,516.81, 3,770.75 and 2,262.47 is: 3,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.81 : 3,770.75 = 2,262.47 : x
  2. Step 2: Convert to fraction form
    2,516.81/3,770.75 = 2,262.47/x
  3. Step 3: Cross multiply
    2,516.81x = 3,770.75 × 2,262.47
  4. Step 4: Simplify right side
    2,516.81x = 8,531,195.55
  5. Step 5: Solve for x
    x = 8,531,195.55/2,516.81
  6. Step 6: Final answer
    x = 3,389.69

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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.