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Finding the Fourth Proportional to 3,229.61, 4,841.34 and 1,378.18

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Solution

The fourth proportional to 3,229.61, 4,841.34 and 1,378.18 is: 2,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.61 : 4,841.34 = 1,378.18 : x
  2. Step 2: Convert to fraction form
    3,229.61/4,841.34 = 1,378.18/x
  3. Step 3: Cross multiply
    3,229.61x = 4,841.34 × 1,378.18
  4. Step 4: Simplify right side
    3,229.61x = 6,672,237.96
  5. Step 5: Solve for x
    x = 6,672,237.96/3,229.61
  6. Step 6: Final answer
    x = 2,065.96

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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.