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Finding the Fourth Proportional to 2,724, 3,759.84 and 1,793.76

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Solution

The fourth proportional to 2,724, 3,759.84 and 1,793.76 is: 2,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 3,759.84 = 1,793.76 : x
  2. Step 2: Convert to fraction form
    2,724/3,759.84 = 1,793.76/x
  3. Step 3: Cross multiply
    2,724x = 3,759.84 × 1,793.76
  4. Step 4: Simplify right side
    2,724x = 6,744,250.60
  5. Step 5: Solve for x
    x = 6,744,250.60/2,724
  6. Step 6: Final answer
    x = 2,475.86

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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.