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Finding the Fourth Proportional to 2,543.82, 3,815.96 and 788.83

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Solution

The fourth proportional to 2,543.82, 3,815.96 and 788.83 is: 1,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.82 : 3,815.96 = 788.83 : x
  2. Step 2: Convert to fraction form
    2,543.82/3,815.96 = 788.83/x
  3. Step 3: Cross multiply
    2,543.82x = 3,815.96 × 788.83
  4. Step 4: Simplify right side
    2,543.82x = 3,010,139.78
  5. Step 5: Solve for x
    x = 3,010,139.78/2,543.82
  6. Step 6: Final answer
    x = 1,183.32

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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.