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Finding the Fourth Proportional to 2,171.81, 3,257.82 and 632.81

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Solution

The fourth proportional to 2,171.81, 3,257.82 and 632.81 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.81 : 3,257.82 = 632.81 : x
  2. Step 2: Convert to fraction form
    2,171.81/3,257.82 = 632.81/x
  3. Step 3: Cross multiply
    2,171.81x = 3,257.82 × 632.81
  4. Step 4: Simplify right side
    2,171.81x = 2,061,589.22
  5. Step 5: Solve for x
    x = 2,061,589.22/2,171.81
  6. Step 6: Final answer
    x = 949.25

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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.