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Finding the Fourth Proportional to 2,294.72, 3,435.84 and 2,144.96

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Solution

The fourth proportional to 2,294.72, 3,435.84 and 2,144.96 is: 3,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.72 : 3,435.84 = 2,144.96 : x
  2. Step 2: Convert to fraction form
    2,294.72/3,435.84 = 2,144.96/x
  3. Step 3: Cross multiply
    2,294.72x = 3,435.84 × 2,144.96
  4. Step 4: Simplify right side
    2,294.72x = 7,369,739.37
  5. Step 5: Solve for x
    x = 7,369,739.37/2,294.72
  6. Step 6: Final answer
    x = 3,211.61

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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.