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Finding the Fourth Proportional to 2,135.14, 3,203.35 and 674.30

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Solution

The fourth proportional to 2,135.14, 3,203.35 and 674.30 is: 1,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.14 : 3,203.35 = 674.30 : x
  2. Step 2: Convert to fraction form
    2,135.14/3,203.35 = 674.30/x
  3. Step 3: Cross multiply
    2,135.14x = 3,203.35 × 674.30
  4. Step 4: Simplify right side
    2,135.14x = 2,160,025.23
  5. Step 5: Solve for x
    x = 2,160,025.23/2,135.14
  6. Step 6: Final answer
    x = 1,011.66

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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.