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Finding the Fourth Proportional to 2,134.55, 3,202.34 and 673.72

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Solution

The fourth proportional to 2,134.55, 3,202.34 and 673.72 is: 1,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.55 : 3,202.34 = 673.72 : x
  2. Step 2: Convert to fraction form
    2,134.55/3,202.34 = 673.72/x
  3. Step 3: Cross multiply
    2,134.55x = 3,202.34 × 673.72
  4. Step 4: Simplify right side
    2,134.55x = 2,157,469.13
  5. Step 5: Solve for x
    x = 2,157,469.13/2,134.55
  6. Step 6: Final answer
    x = 1,010.74

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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.