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Finding the Fourth Proportional to 2,291.78, 3,160.32 and 1,961.30

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Solution

The fourth proportional to 2,291.78, 3,160.32 and 1,961.30 is: 2,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.78 : 3,160.32 = 1,961.30 : x
  2. Step 2: Convert to fraction form
    2,291.78/3,160.32 = 1,961.30/x
  3. Step 3: Cross multiply
    2,291.78x = 3,160.32 × 1,961.30
  4. Step 4: Simplify right side
    2,291.78x = 6,198,335.62
  5. Step 5: Solve for x
    x = 6,198,335.62/2,291.78
  6. Step 6: Final answer
    x = 2,704.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.