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Finding the Fourth Proportional to 2,575.34, 3,853.79 and 2,229.86

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Solution

The fourth proportional to 2,575.34, 3,853.79 and 2,229.86 is: 3,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.34 : 3,853.79 = 2,229.86 : x
  2. Step 2: Convert to fraction form
    2,575.34/3,853.79 = 2,229.86/x
  3. Step 3: Cross multiply
    2,575.34x = 3,853.79 × 2,229.86
  4. Step 4: Simplify right side
    2,575.34x = 8,593,410.65
  5. Step 5: Solve for x
    x = 8,593,410.65/2,575.34
  6. Step 6: Final answer
    x = 3,336.80

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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.