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Finding the Fourth Proportional to 3,266.46, 4,900.14 and 1,622.97

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Solution

The fourth proportional to 3,266.46, 4,900.14 and 1,622.97 is: 2,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.46 : 4,900.14 = 1,622.97 : x
  2. Step 2: Convert to fraction form
    3,266.46/4,900.14 = 1,622.97/x
  3. Step 3: Cross multiply
    3,266.46x = 4,900.14 × 1,622.97
  4. Step 4: Simplify right side
    3,266.46x = 7,952,780.22
  5. Step 5: Solve for x
    x = 7,952,780.22/3,266.46
  6. Step 6: Final answer
    x = 2,434.68

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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.