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Finding the Fourth Proportional to 4,219.76, 6,327 and 1,619.60

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Solution

The fourth proportional to 4,219.76, 6,327 and 1,619.60 is: 2,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.76 : 6,327 = 1,619.60 : x
  2. Step 2: Convert to fraction form
    4,219.76/6,327 = 1,619.60/x
  3. Step 3: Cross multiply
    4,219.76x = 6,327 × 1,619.60
  4. Step 4: Simplify right side
    4,219.76x = 10,247,209.20
  5. Step 5: Solve for x
    x = 10,247,209.20/4,219.76
  6. Step 6: Final answer
    x = 2,428.39

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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.