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Finding the Fourth Proportional to 2,748.88, 3,793.47 and 1,630.38

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Solution

The fourth proportional to 2,748.88, 3,793.47 and 1,630.38 is: 2,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.88 : 3,793.47 = 1,630.38 : x
  2. Step 2: Convert to fraction form
    2,748.88/3,793.47 = 1,630.38/x
  3. Step 3: Cross multiply
    2,748.88x = 3,793.47 × 1,630.38
  4. Step 4: Simplify right side
    2,748.88x = 6,184,797.62
  5. Step 5: Solve for x
    x = 6,184,797.62/2,748.88
  6. Step 6: Final answer
    x = 2,249.93

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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.