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Finding the Fourth Proportional to 2,145.69, 3,217.32 and 684.05

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Solution

The fourth proportional to 2,145.69, 3,217.32 and 684.05 is: 1,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.69 : 3,217.32 = 684.05 : x
  2. Step 2: Convert to fraction form
    2,145.69/3,217.32 = 684.05/x
  3. Step 3: Cross multiply
    2,145.69x = 3,217.32 × 684.05
  4. Step 4: Simplify right side
    2,145.69x = 2,200,791.66
  5. Step 5: Solve for x
    x = 2,200,791.66/2,145.69
  6. Step 6: Final answer
    x = 1,025.68

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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.