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Finding the Fourth Proportional to 3,494.88, 5,241.60 and 1,761.84

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Solution

The fourth proportional to 3,494.88, 5,241.60 and 1,761.84 is: 2,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.88 : 5,241.60 = 1,761.84 : x
  2. Step 2: Convert to fraction form
    3,494.88/5,241.60 = 1,761.84/x
  3. Step 3: Cross multiply
    3,494.88x = 5,241.60 × 1,761.84
  4. Step 4: Simplify right side
    3,494.88x = 9,234,860.54
  5. Step 5: Solve for x
    x = 9,234,860.54/3,494.88
  6. Step 6: Final answer
    x = 2,642.40

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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.