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Finding the Fourth Proportional to 3,083.97, 4,255.79 and 1,686.63

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Solution

The fourth proportional to 3,083.97, 4,255.79 and 1,686.63 is: 2,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.97 : 4,255.79 = 1,686.63 : x
  2. Step 2: Convert to fraction form
    3,083.97/4,255.79 = 1,686.63/x
  3. Step 3: Cross multiply
    3,083.97x = 4,255.79 × 1,686.63
  4. Step 4: Simplify right side
    3,083.97x = 7,177,913.38
  5. Step 5: Solve for x
    x = 7,177,913.38/3,083.97
  6. Step 6: Final answer
    x = 2,327.50

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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.