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Finding the Fourth Proportional to 3,382.75, 5,074.14 and 1,330.75

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Solution

The fourth proportional to 3,382.75, 5,074.14 and 1,330.75 is: 1,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.75 : 5,074.14 = 1,330.75 : x
  2. Step 2: Convert to fraction form
    3,382.75/5,074.14 = 1,330.75/x
  3. Step 3: Cross multiply
    3,382.75x = 5,074.14 × 1,330.75
  4. Step 4: Simplify right side
    3,382.75x = 6,752,405.15
  5. Step 5: Solve for x
    x = 6,752,405.15/3,382.75
  6. Step 6: Final answer
    x = 1,996.13

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Why These Related Problems?

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