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Finding the Fourth Proportional to 3,641.41, 5,462.16 and 2,180.98

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Solution

The fourth proportional to 3,641.41, 5,462.16 and 2,180.98 is: 3,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.41 : 5,462.16 = 2,180.98 : x
  2. Step 2: Convert to fraction form
    3,641.41/5,462.16 = 2,180.98/x
  3. Step 3: Cross multiply
    3,641.41x = 5,462.16 × 2,180.98
  4. Step 4: Simplify right side
    3,641.41x = 11,912,861.72
  5. Step 5: Solve for x
    x = 11,912,861.72/3,641.41
  6. Step 6: Final answer
    x = 3,271.50

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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.