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Finding the Fourth Proportional to 3,163.98, 4,743.40 and 1,188.50

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Solution

The fourth proportional to 3,163.98, 4,743.40 and 1,188.50 is: 1,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.98 : 4,743.40 = 1,188.50 : x
  2. Step 2: Convert to fraction form
    3,163.98/4,743.40 = 1,188.50/x
  3. Step 3: Cross multiply
    3,163.98x = 4,743.40 × 1,188.50
  4. Step 4: Simplify right side
    3,163.98x = 5,637,530.90
  5. Step 5: Solve for x
    x = 5,637,530.90/3,163.98
  6. Step 6: Final answer
    x = 1,781.78

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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.