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Finding the Fourth Proportional to 4,426.88, 6,640.31 and 1,829.88

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Solution

The fourth proportional to 4,426.88, 6,640.31 and 1,829.88 is: 2,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.88 : 6,640.31 = 1,829.88 : x
  2. Step 2: Convert to fraction form
    4,426.88/6,640.31 = 1,829.88/x
  3. Step 3: Cross multiply
    4,426.88x = 6,640.31 × 1,829.88
  4. Step 4: Simplify right side
    4,426.88x = 12,150,975.04
  5. Step 5: Solve for x
    x = 12,150,975.04/4,426.88
  6. Step 6: Final answer
    x = 2,744.82

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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.