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Finding the Fourth Proportional to 3,212.17, 4,814.31 and 1,826.67

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Solution

The fourth proportional to 3,212.17, 4,814.31 and 1,826.67 is: 2,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.17 : 4,814.31 = 1,826.67 : x
  2. Step 2: Convert to fraction form
    3,212.17/4,814.31 = 1,826.67/x
  3. Step 3: Cross multiply
    3,212.17x = 4,814.31 × 1,826.67
  4. Step 4: Simplify right side
    3,212.17x = 8,794,155.65
  5. Step 5: Solve for x
    x = 8,794,155.65/3,212.17
  6. Step 6: Final answer
    x = 2,737.76

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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.