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Finding the Fourth Proportional to 2,135.15, 3,202.20 and 674.30

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Solution

The fourth proportional to 2,135.15, 3,202.20 and 674.30 is: 1,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.15 : 3,202.20 = 674.30 : x
  2. Step 2: Convert to fraction form
    2,135.15/3,202.20 = 674.30/x
  3. Step 3: Cross multiply
    2,135.15x = 3,202.20 × 674.30
  4. Step 4: Simplify right side
    2,135.15x = 2,159,243.46
  5. Step 5: Solve for x
    x = 2,159,243.46/2,135.15
  6. Step 6: Final answer
    x = 1,011.28

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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.