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Finding the Fourth Proportional to 2,135.17, 3,202.67 and 673.93

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Solution

The fourth proportional to 2,135.17, 3,202.67 and 673.93 is: 1,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.17 : 3,202.67 = 673.93 : x
  2. Step 2: Convert to fraction form
    2,135.17/3,202.67 = 673.93/x
  3. Step 3: Cross multiply
    2,135.17x = 3,202.67 × 673.93
  4. Step 4: Simplify right side
    2,135.17x = 2,158,375.39
  5. Step 5: Solve for x
    x = 2,158,375.39/2,135.17
  6. Step 6: Final answer
    x = 1,010.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.