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Finding the Fourth Proportional to 3,265.71, 4,899.11 and 1,622.31

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Solution

The fourth proportional to 3,265.71, 4,899.11 and 1,622.31 is: 2,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.71 : 4,899.11 = 1,622.31 : x
  2. Step 2: Convert to fraction form
    3,265.71/4,899.11 = 1,622.31/x
  3. Step 3: Cross multiply
    3,265.71x = 4,899.11 × 1,622.31
  4. Step 4: Simplify right side
    3,265.71x = 7,947,867.03
  5. Step 5: Solve for x
    x = 7,947,867.03/3,265.71
  6. Step 6: Final answer
    x = 2,433.73

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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.