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Finding the Fourth Proportional to 2,532.90, 3,794.67 and 2,124.66

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Solution

The fourth proportional to 2,532.90, 3,794.67 and 2,124.66 is: 3,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.90 : 3,794.67 = 2,124.66 : x
  2. Step 2: Convert to fraction form
    2,532.90/3,794.67 = 2,124.66/x
  3. Step 3: Cross multiply
    2,532.90x = 3,794.67 × 2,124.66
  4. Step 4: Simplify right side
    2,532.90x = 8,062,383.56
  5. Step 5: Solve for x
    x = 8,062,383.56/2,532.90
  6. Step 6: Final answer
    x = 3,183.06

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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.