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Finding the Fourth Proportional to 1,448.91, 1,999.76 and 1,227.78

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Solution

The fourth proportional to 1,448.91, 1,999.76 and 1,227.78 is: 1,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.91 : 1,999.76 = 1,227.78 : x
  2. Step 2: Convert to fraction form
    1,448.91/1,999.76 = 1,227.78/x
  3. Step 3: Cross multiply
    1,448.91x = 1,999.76 × 1,227.78
  4. Step 4: Simplify right side
    1,448.91x = 2,455,259.19
  5. Step 5: Solve for x
    x = 2,455,259.19/1,448.91
  6. Step 6: Final answer
    x = 1,694.56

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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.