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Finding the Fourth Proportional to 2,637.69, 3,956.39 and 788.82

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Solution

The fourth proportional to 2,637.69, 3,956.39 and 788.82 is: 1,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.69 : 3,956.39 = 788.82 : x
  2. Step 2: Convert to fraction form
    2,637.69/3,956.39 = 788.82/x
  3. Step 3: Cross multiply
    2,637.69x = 3,956.39 × 788.82
  4. Step 4: Simplify right side
    2,637.69x = 3,120,879.56
  5. Step 5: Solve for x
    x = 3,120,879.56/2,637.69
  6. Step 6: Final answer
    x = 1,183.19

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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.