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Finding the Fourth Proportional to 3,190.68, 4,786.00 and 818.75

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Solution

The fourth proportional to 3,190.68, 4,786.00 and 818.75 is: 1,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.68 : 4,786.00 = 818.75 : x
  2. Step 2: Convert to fraction form
    3,190.68/4,786.00 = 818.75/x
  3. Step 3: Cross multiply
    3,190.68x = 4,786.00 × 818.75
  4. Step 4: Simplify right side
    3,190.68x = 3,918,543.36
  5. Step 5: Solve for x
    x = 3,918,543.36/3,190.68
  6. Step 6: Final answer
    x = 1,228.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.