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Finding the Fourth Proportional to 2,675, 3,691.50 and 1,571

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Solution

The fourth proportional to 2,675, 3,691.50 and 1,571 is: 2,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675 : 3,691.50 = 1,571 : x
  2. Step 2: Convert to fraction form
    2,675/3,691.50 = 1,571/x
  3. Step 3: Cross multiply
    2,675x = 3,691.50 × 1,571
  4. Step 4: Simplify right side
    2,675x = 5,799,346.50
  5. Step 5: Solve for x
    x = 5,799,346.50/2,675
  6. Step 6: Final answer
    x = 2,167.98

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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.