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Finding the Fourth Proportional to 2,655.70, 3,984.62 and 1,195.54

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Solution

The fourth proportional to 2,655.70, 3,984.62 and 1,195.54 is: 1,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.70 : 3,984.62 = 1,195.54 : x
  2. Step 2: Convert to fraction form
    2,655.70/3,984.62 = 1,195.54/x
  3. Step 3: Cross multiply
    2,655.70x = 3,984.62 × 1,195.54
  4. Step 4: Simplify right side
    2,655.70x = 4,763,772.59
  5. Step 5: Solve for x
    x = 4,763,772.59/2,655.70
  6. Step 6: Final answer
    x = 1,793.79

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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.