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Finding the Fourth Proportional to 1,617.31, 2,425.97 and 643.41

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Solution

The fourth proportional to 1,617.31, 2,425.97 and 643.41 is: 965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.31 : 2,425.97 = 643.41 : x
  2. Step 2: Convert to fraction form
    1,617.31/2,425.97 = 643.41/x
  3. Step 3: Cross multiply
    1,617.31x = 2,425.97 × 643.41
  4. Step 4: Simplify right side
    1,617.31x = 1,560,890.14
  5. Step 5: Solve for x
    x = 1,560,890.14/1,617.31
  6. Step 6: Final answer
    x = 965.12

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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.