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Finding the Fourth Proportional to 2,689, 3,711.23 and 1,641.67

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Solution

The fourth proportional to 2,689, 3,711.23 and 1,641.67 is: 2,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689 : 3,711.23 = 1,641.67 : x
  2. Step 2: Convert to fraction form
    2,689/3,711.23 = 1,641.67/x
  3. Step 3: Cross multiply
    2,689x = 3,711.23 × 1,641.67
  4. Step 4: Simplify right side
    2,689x = 6,092,614.95
  5. Step 5: Solve for x
    x = 6,092,614.95/2,689
  6. Step 6: Final answer
    x = 2,265.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.