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Finding the Fourth Proportional to 2,716, 3,747.42 and 1,596.88

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Solution

The fourth proportional to 2,716, 3,747.42 and 1,596.88 is: 2,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716 : 3,747.42 = 1,596.88 : x
  2. Step 2: Convert to fraction form
    2,716/3,747.42 = 1,596.88/x
  3. Step 3: Cross multiply
    2,716x = 3,747.42 × 1,596.88
  4. Step 4: Simplify right side
    2,716x = 5,984,180.05
  5. Step 5: Solve for x
    x = 5,984,180.05/2,716
  6. Step 6: Final answer
    x = 2,203.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.