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Finding the Fourth Proportional to 2,609.78, 3,910.26 and 1,291.77

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Solution

The fourth proportional to 2,609.78, 3,910.26 and 1,291.77 is: 1,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.78 : 3,910.26 = 1,291.77 : x
  2. Step 2: Convert to fraction form
    2,609.78/3,910.26 = 1,291.77/x
  3. Step 3: Cross multiply
    2,609.78x = 3,910.26 × 1,291.77
  4. Step 4: Simplify right side
    2,609.78x = 5,051,156.56
  5. Step 5: Solve for x
    x = 5,051,156.56/2,609.78
  6. Step 6: Final answer
    x = 1,935.48

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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.