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Finding the Fourth Proportional to 3,221.42, 4,833.99 and 1,740.65

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Solution

The fourth proportional to 3,221.42, 4,833.99 and 1,740.65 is: 2,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.42 : 4,833.99 = 1,740.65 : x
  2. Step 2: Convert to fraction form
    3,221.42/4,833.99 = 1,740.65/x
  3. Step 3: Cross multiply
    3,221.42x = 4,833.99 × 1,740.65
  4. Step 4: Simplify right side
    3,221.42x = 8,414,256.17
  5. Step 5: Solve for x
    x = 8,414,256.17/3,221.42
  6. Step 6: Final answer
    x = 2,611.97

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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.