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Finding the Fourth Proportional to 2,294.56, 3,442.92 and 2,181.88

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Solution

The fourth proportional to 2,294.56, 3,442.92 and 2,181.88 is: 3,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.56 : 3,442.92 = 2,181.88 : x
  2. Step 2: Convert to fraction form
    2,294.56/3,442.92 = 2,181.88/x
  3. Step 3: Cross multiply
    2,294.56x = 3,442.92 × 2,181.88
  4. Step 4: Simplify right side
    2,294.56x = 7,512,038.29
  5. Step 5: Solve for x
    x = 7,512,038.29/2,294.56
  6. Step 6: Final answer
    x = 3,273.85

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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.