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Finding the Fourth Proportional to 3,219.82, 4,442.82 and 1,822.30

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Solution

The fourth proportional to 3,219.82, 4,442.82 and 1,822.30 is: 2,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.82 : 4,442.82 = 1,822.30 : x
  2. Step 2: Convert to fraction form
    3,219.82/4,442.82 = 1,822.30/x
  3. Step 3: Cross multiply
    3,219.82x = 4,442.82 × 1,822.30
  4. Step 4: Simplify right side
    3,219.82x = 8,096,150.89
  5. Step 5: Solve for x
    x = 8,096,150.89/3,219.82
  6. Step 6: Final answer
    x = 2,514.47

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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.