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Finding the Fourth Proportional to 2,865.38, 3,954.37 and 1,686.83

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Solution

The fourth proportional to 2,865.38, 3,954.37 and 1,686.83 is: 2,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.38 : 3,954.37 = 1,686.83 : x
  2. Step 2: Convert to fraction form
    2,865.38/3,954.37 = 1,686.83/x
  3. Step 3: Cross multiply
    2,865.38x = 3,954.37 × 1,686.83
  4. Step 4: Simplify right side
    2,865.38x = 6,670,329.12
  5. Step 5: Solve for x
    x = 6,670,329.12/2,865.38
  6. Step 6: Final answer
    x = 2,327.91

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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.