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Finding the Fourth Proportional to 2,048.92, 3,074.13 and 1,227.76

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Solution

The fourth proportional to 2,048.92, 3,074.13 and 1,227.76 is: 1,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.92 : 3,074.13 = 1,227.76 : x
  2. Step 2: Convert to fraction form
    2,048.92/3,074.13 = 1,227.76/x
  3. Step 3: Cross multiply
    2,048.92x = 3,074.13 × 1,227.76
  4. Step 4: Simplify right side
    2,048.92x = 3,774,293.85
  5. Step 5: Solve for x
    x = 3,774,293.85/2,048.92
  6. Step 6: Final answer
    x = 1,842.09

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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.