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Finding the Fourth Proportional to 2,711.63, 3,742.07 and 1,469.63

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Solution

The fourth proportional to 2,711.63, 3,742.07 and 1,469.63 is: 2,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.63 : 3,742.07 = 1,469.63 : x
  2. Step 2: Convert to fraction form
    2,711.63/3,742.07 = 1,469.63/x
  3. Step 3: Cross multiply
    2,711.63x = 3,742.07 × 1,469.63
  4. Step 4: Simplify right side
    2,711.63x = 5,499,432.28
  5. Step 5: Solve for x
    x = 5,499,432.28/2,711.63
  6. Step 6: Final answer
    x = 2,028.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.