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Finding the Fourth Proportional to 2,625.90, 3,930.69 and 1,963.86

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Solution

The fourth proportional to 2,625.90, 3,930.69 and 1,963.86 is: 2,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.90 : 3,930.69 = 1,963.86 : x
  2. Step 2: Convert to fraction form
    2,625.90/3,930.69 = 1,963.86/x
  3. Step 3: Cross multiply
    2,625.90x = 3,930.69 × 1,963.86
  4. Step 4: Simplify right side
    2,625.90x = 7,719,324.86
  5. Step 5: Solve for x
    x = 7,719,324.86/2,625.90
  6. Step 6: Final answer
    x = 2,939.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.