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Finding the Fourth Proportional to 3,299.55, 4,951.14 and 1,983.70

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Solution

The fourth proportional to 3,299.55, 4,951.14 and 1,983.70 is: 2,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.55 : 4,951.14 = 1,983.70 : x
  2. Step 2: Convert to fraction form
    3,299.55/4,951.14 = 1,983.70/x
  3. Step 3: Cross multiply
    3,299.55x = 4,951.14 × 1,983.70
  4. Step 4: Simplify right side
    3,299.55x = 9,821,576.42
  5. Step 5: Solve for x
    x = 9,821,576.42/3,299.55
  6. Step 6: Final answer
    x = 2,976.64

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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.