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Finding the Fourth Proportional to 4,122.35, 6,182.22 and 1,489.50

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Solution

The fourth proportional to 4,122.35, 6,182.22 and 1,489.50 is: 2,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.35 : 6,182.22 = 1,489.50 : x
  2. Step 2: Convert to fraction form
    4,122.35/6,182.22 = 1,489.50/x
  3. Step 3: Cross multiply
    4,122.35x = 6,182.22 × 1,489.50
  4. Step 4: Simplify right side
    4,122.35x = 9,208,416.69
  5. Step 5: Solve for x
    x = 9,208,416.69/4,122.35
  6. Step 6: Final answer
    x = 2,233.78

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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.