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Finding the Fourth Proportional to 2,135.65, 3,203.21 and 674.95

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Solution

The fourth proportional to 2,135.65, 3,203.21 and 674.95 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.65 : 3,203.21 = 674.95 : x
  2. Step 2: Convert to fraction form
    2,135.65/3,203.21 = 674.95/x
  3. Step 3: Cross multiply
    2,135.65x = 3,203.21 × 674.95
  4. Step 4: Simplify right side
    2,135.65x = 2,162,003.21
  5. Step 5: Solve for x
    x = 2,162,003.21/2,135.65
  6. Step 6: Final answer
    x = 1,012.34

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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.