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Finding the Fourth Proportional to 3,020.66, 4,532.29 and 1,634.97

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Solution

The fourth proportional to 3,020.66, 4,532.29 and 1,634.97 is: 2,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.66 : 4,532.29 = 1,634.97 : x
  2. Step 2: Convert to fraction form
    3,020.66/4,532.29 = 1,634.97/x
  3. Step 3: Cross multiply
    3,020.66x = 4,532.29 × 1,634.97
  4. Step 4: Simplify right side
    3,020.66x = 7,410,158.18
  5. Step 5: Solve for x
    x = 7,410,158.18/3,020.66
  6. Step 6: Final answer
    x = 2,453.16

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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.