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Finding the Fourth Proportional to 2,012.96, 2,777.91 and 1,227.08

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Solution

The fourth proportional to 2,012.96, 2,777.91 and 1,227.08 is: 1,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.96 : 2,777.91 = 1,227.08 : x
  2. Step 2: Convert to fraction form
    2,012.96/2,777.91 = 1,227.08/x
  3. Step 3: Cross multiply
    2,012.96x = 2,777.91 × 1,227.08
  4. Step 4: Simplify right side
    2,012.96x = 3,408,717.80
  5. Step 5: Solve for x
    x = 3,408,717.80/2,012.96
  6. Step 6: Final answer
    x = 1,693.39

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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.