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Finding the Fourth Proportional to 2,584.65, 3,872.70 and 1,350.21

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Solution

The fourth proportional to 2,584.65, 3,872.70 and 1,350.21 is: 2,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.65 : 3,872.70 = 1,350.21 : x
  2. Step 2: Convert to fraction form
    2,584.65/3,872.70 = 1,350.21/x
  3. Step 3: Cross multiply
    2,584.65x = 3,872.70 × 1,350.21
  4. Step 4: Simplify right side
    2,584.65x = 5,228,958.27
  5. Step 5: Solve for x
    x = 5,228,958.27/2,584.65
  6. Step 6: Final answer
    x = 2,023.08

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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.