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Finding the Fourth Proportional to 2,092.41, 2,888.04 and 1,208.73

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Solution

The fourth proportional to 2,092.41, 2,888.04 and 1,208.73 is: 1,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.41 : 2,888.04 = 1,208.73 : x
  2. Step 2: Convert to fraction form
    2,092.41/2,888.04 = 1,208.73/x
  3. Step 3: Cross multiply
    2,092.41x = 2,888.04 × 1,208.73
  4. Step 4: Simplify right side
    2,092.41x = 3,490,860.59
  5. Step 5: Solve for x
    x = 3,490,860.59/2,092.41
  6. Step 6: Final answer
    x = 1,668.34

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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.