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Finding the Fourth Proportional to 2,516.94, 3,771.81 and 1,419.66

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Solution

The fourth proportional to 2,516.94, 3,771.81 and 1,419.66 is: 2,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.94 : 3,771.81 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    2,516.94/3,771.81 = 1,419.66/x
  3. Step 3: Cross multiply
    2,516.94x = 3,771.81 × 1,419.66
  4. Step 4: Simplify right side
    2,516.94x = 5,354,687.78
  5. Step 5: Solve for x
    x = 5,354,687.78/2,516.94
  6. Step 6: Final answer
    x = 2,127.46

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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.