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Finding the Fourth Proportional to 2,748.85, 3,793.41 and 1,489.94

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Solution

The fourth proportional to 2,748.85, 3,793.41 and 1,489.94 is: 2,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.85 : 3,793.41 = 1,489.94 : x
  2. Step 2: Convert to fraction form
    2,748.85/3,793.41 = 1,489.94/x
  3. Step 3: Cross multiply
    2,748.85x = 3,793.41 × 1,489.94
  4. Step 4: Simplify right side
    2,748.85x = 5,651,953.30
  5. Step 5: Solve for x
    x = 5,651,953.30/2,748.85
  6. Step 6: Final answer
    x = 2,056.12

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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.