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Finding the Fourth Proportional to 2,863.54, 3,951.48 and 1,684.45

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Solution

The fourth proportional to 2,863.54, 3,951.48 and 1,684.45 is: 2,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.54 : 3,951.48 = 1,684.45 : x
  2. Step 2: Convert to fraction form
    2,863.54/3,951.48 = 1,684.45/x
  3. Step 3: Cross multiply
    2,863.54x = 3,951.48 × 1,684.45
  4. Step 4: Simplify right side
    2,863.54x = 6,656,070.49
  5. Step 5: Solve for x
    x = 6,656,070.49/2,863.54
  6. Step 6: Final answer
    x = 2,324.42

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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.