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Finding the Fourth Proportional to 4,161, 6,241.68 and 1,387.80

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Solution

The fourth proportional to 4,161, 6,241.68 and 1,387.80 is: 2,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161 : 6,241.68 = 1,387.80 : x
  2. Step 2: Convert to fraction form
    4,161/6,241.68 = 1,387.80/x
  3. Step 3: Cross multiply
    4,161x = 6,241.68 × 1,387.80
  4. Step 4: Simplify right side
    4,161x = 8,662,203.50
  5. Step 5: Solve for x
    x = 8,662,203.50/4,161
  6. Step 6: Final answer
    x = 2,081.76

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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.