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Finding the Fourth Proportional to 3,212.68, 4,433.82 and 1,815.64

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Solution

The fourth proportional to 3,212.68, 4,433.82 and 1,815.64 is: 2,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.68 : 4,433.82 = 1,815.64 : x
  2. Step 2: Convert to fraction form
    3,212.68/4,433.82 = 1,815.64/x
  3. Step 3: Cross multiply
    3,212.68x = 4,433.82 × 1,815.64
  4. Step 4: Simplify right side
    3,212.68x = 8,050,220.94
  5. Step 5: Solve for x
    x = 8,050,220.94/3,212.68
  6. Step 6: Final answer
    x = 2,505.76

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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.