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Finding the Fourth Proportional to 2,238.69, 3,089.38 and 1,294.47

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Solution

The fourth proportional to 2,238.69, 3,089.38 and 1,294.47 is: 1,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.69 : 3,089.38 = 1,294.47 : x
  2. Step 2: Convert to fraction form
    2,238.69/3,089.38 = 1,294.47/x
  3. Step 3: Cross multiply
    2,238.69x = 3,089.38 × 1,294.47
  4. Step 4: Simplify right side
    2,238.69x = 3,999,109.73
  5. Step 5: Solve for x
    x = 3,999,109.73/2,238.69
  6. Step 6: Final answer
    x = 1,786.36

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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.