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Finding the Fourth Proportional to 3,219.96, 4,443.50 and 1,822.71

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Solution

The fourth proportional to 3,219.96, 4,443.50 and 1,822.71 is: 2,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.96 : 4,443.50 = 1,822.71 : x
  2. Step 2: Convert to fraction form
    3,219.96/4,443.50 = 1,822.71/x
  3. Step 3: Cross multiply
    3,219.96x = 4,443.50 × 1,822.71
  4. Step 4: Simplify right side
    3,219.96x = 8,099,216.44
  5. Step 5: Solve for x
    x = 8,099,216.44/3,219.96
  6. Step 6: Final answer
    x = 2,515.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.