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Finding the Fourth Proportional to 2,516.69, 3,771.39 and 1,418.71

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Solution

The fourth proportional to 2,516.69, 3,771.39 and 1,418.71 is: 2,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.69 : 3,771.39 = 1,418.71 : x
  2. Step 2: Convert to fraction form
    2,516.69/3,771.39 = 1,418.71/x
  3. Step 3: Cross multiply
    2,516.69x = 3,771.39 × 1,418.71
  4. Step 4: Simplify right side
    2,516.69x = 5,350,512.82
  5. Step 5: Solve for x
    x = 5,350,512.82/2,516.69
  6. Step 6: Final answer
    x = 2,126.01

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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.