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Finding the Fourth Proportional to 2,171.71, 3,257.33 and 611.67

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Solution

The fourth proportional to 2,171.71, 3,257.33 and 611.67 is: 917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.71 : 3,257.33 = 611.67 : x
  2. Step 2: Convert to fraction form
    2,171.71/3,257.33 = 611.67/x
  3. Step 3: Cross multiply
    2,171.71x = 3,257.33 × 611.67
  4. Step 4: Simplify right side
    2,171.71x = 1,992,412.57
  5. Step 5: Solve for x
    x = 1,992,412.57/2,171.71
  6. Step 6: Final answer
    x = 917.44

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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.