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Finding the Fourth Proportional to 2,171.73, 3,257.10 and 1,294.48

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Solution

The fourth proportional to 2,171.73, 3,257.10 and 1,294.48 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.73 : 3,257.10 = 1,294.48 : x
  2. Step 2: Convert to fraction form
    2,171.73/3,257.10 = 1,294.48/x
  3. Step 3: Cross multiply
    2,171.73x = 3,257.10 × 1,294.48
  4. Step 4: Simplify right side
    2,171.73x = 4,216,253.06
  5. Step 5: Solve for x
    x = 4,216,253.06/2,171.73
  6. Step 6: Final answer
    x = 1,941.42

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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.