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Finding the Fourth Proportional to 2,684, 4,023.24 and 1,039.92

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Solution

The fourth proportional to 2,684, 4,023.24 and 1,039.92 is: 1,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 4,023.24 = 1,039.92 : x
  2. Step 2: Convert to fraction form
    2,684/4,023.24 = 1,039.92/x
  3. Step 3: Cross multiply
    2,684x = 4,023.24 × 1,039.92
  4. Step 4: Simplify right side
    2,684x = 4,183,847.74
  5. Step 5: Solve for x
    x = 4,183,847.74/2,684
  6. Step 6: Final answer
    x = 1,558.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.