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Finding the Fourth Proportional to 3,209.80, 4,814.96 and 1,236.39

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Solution

The fourth proportional to 3,209.80, 4,814.96 and 1,236.39 is: 1,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.80 : 4,814.96 = 1,236.39 : x
  2. Step 2: Convert to fraction form
    3,209.80/4,814.96 = 1,236.39/x
  3. Step 3: Cross multiply
    3,209.80x = 4,814.96 × 1,236.39
  4. Step 4: Simplify right side
    3,209.80x = 5,953,168.39
  5. Step 5: Solve for x
    x = 5,953,168.39/3,209.80
  6. Step 6: Final answer
    x = 1,854.69

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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.