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Finding the Fourth Proportional to 2,349.75, 3,525.84 and 1,195.50

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Solution

The fourth proportional to 2,349.75, 3,525.84 and 1,195.50 is: 1,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.75 : 3,525.84 = 1,195.50 : x
  2. Step 2: Convert to fraction form
    2,349.75/3,525.84 = 1,195.50/x
  3. Step 3: Cross multiply
    2,349.75x = 3,525.84 × 1,195.50
  4. Step 4: Simplify right side
    2,349.75x = 4,215,141.72
  5. Step 5: Solve for x
    x = 4,215,141.72/2,349.75
  6. Step 6: Final answer
    x = 1,793.87

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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.