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Finding the Fourth Proportional to 3,245.75, 4,872.09 and 1,397.78

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Solution

The fourth proportional to 3,245.75, 4,872.09 and 1,397.78 is: 2,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.75 : 4,872.09 = 1,397.78 : x
  2. Step 2: Convert to fraction form
    3,245.75/4,872.09 = 1,397.78/x
  3. Step 3: Cross multiply
    3,245.75x = 4,872.09 × 1,397.78
  4. Step 4: Simplify right side
    3,245.75x = 6,810,109.96
  5. Step 5: Solve for x
    x = 6,810,109.96/3,245.75
  6. Step 6: Final answer
    x = 2,098.16

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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.