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Finding the Fourth Proportional to 2,135.53, 3,203.74 and 674.78

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Solution

The fourth proportional to 2,135.53, 3,203.74 and 674.78 is: 1,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.53 : 3,203.74 = 674.78 : x
  2. Step 2: Convert to fraction form
    2,135.53/3,203.74 = 674.78/x
  3. Step 3: Cross multiply
    2,135.53x = 3,203.74 × 674.78
  4. Step 4: Simplify right side
    2,135.53x = 2,161,819.68
  5. Step 5: Solve for x
    x = 2,161,819.68/2,135.53
  6. Step 6: Final answer
    x = 1,012.31

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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.