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Finding the Fourth Proportional to 3,241.80, 4,860.18 and 1,681.20

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Solution

The fourth proportional to 3,241.80, 4,860.18 and 1,681.20 is: 2,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.80 : 4,860.18 = 1,681.20 : x
  2. Step 2: Convert to fraction form
    3,241.80/4,860.18 = 1,681.20/x
  3. Step 3: Cross multiply
    3,241.80x = 4,860.18 × 1,681.20
  4. Step 4: Simplify right side
    3,241.80x = 8,170,934.62
  5. Step 5: Solve for x
    x = 8,170,934.62/3,241.80
  6. Step 6: Final answer
    x = 2,520.49

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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.