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Finding the Fourth Proportional to 2,694, 4,039.02 and 1,027.83

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Solution

The fourth proportional to 2,694, 4,039.02 and 1,027.83 is: 1,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694 : 4,039.02 = 1,027.83 : x
  2. Step 2: Convert to fraction form
    2,694/4,039.02 = 1,027.83/x
  3. Step 3: Cross multiply
    2,694x = 4,039.02 × 1,027.83
  4. Step 4: Simplify right side
    2,694x = 4,151,425.93
  5. Step 5: Solve for x
    x = 4,151,425.93/2,694
  6. Step 6: Final answer
    x = 1,540.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.