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Finding the Fourth Proportional to 3,228.60, 4,842.04 and 1,378.80

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Solution

The fourth proportional to 3,228.60, 4,842.04 and 1,378.80 is: 2,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.60 : 4,842.04 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    3,228.60/4,842.04 = 1,378.80/x
  3. Step 3: Cross multiply
    3,228.60x = 4,842.04 × 1,378.80
  4. Step 4: Simplify right side
    3,228.60x = 6,676,204.75
  5. Step 5: Solve for x
    x = 6,676,204.75/3,228.60
  6. Step 6: Final answer
    x = 2,067.83

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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.