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Finding the Fourth Proportional to 1,966.97, 2,963.99 and 1,627.94

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Solution

The fourth proportional to 1,966.97, 2,963.99 and 1,627.94 is: 2,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.97 : 2,963.99 = 1,627.94 : x
  2. Step 2: Convert to fraction form
    1,966.97/2,963.99 = 1,627.94/x
  3. Step 3: Cross multiply
    1,966.97x = 2,963.99 × 1,627.94
  4. Step 4: Simplify right side
    1,966.97x = 4,825,197.88
  5. Step 5: Solve for x
    x = 4,825,197.88/1,966.97
  6. Step 6: Final answer
    x = 2,453.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.