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Finding the Fourth Proportional to 2,134.68, 3,202.59 and 673.86

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Solution

The fourth proportional to 2,134.68, 3,202.59 and 673.86 is: 1,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.68 : 3,202.59 = 673.86 : x
  2. Step 2: Convert to fraction form
    2,134.68/3,202.59 = 673.86/x
  3. Step 3: Cross multiply
    2,134.68x = 3,202.59 × 673.86
  4. Step 4: Simplify right side
    2,134.68x = 2,158,097.30
  5. Step 5: Solve for x
    x = 2,158,097.30/2,134.68
  6. Step 6: Final answer
    x = 1,010.97

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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.