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Finding the Fourth Proportional to 2,609.20, 3,915.06 and 1,636.12

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Solution

The fourth proportional to 2,609.20, 3,915.06 and 1,636.12 is: 2,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.20 : 3,915.06 = 1,636.12 : x
  2. Step 2: Convert to fraction form
    2,609.20/3,915.06 = 1,636.12/x
  3. Step 3: Cross multiply
    2,609.20x = 3,915.06 × 1,636.12
  4. Step 4: Simplify right side
    2,609.20x = 6,405,507.97
  5. Step 5: Solve for x
    x = 6,405,507.97/2,609.20
  6. Step 6: Final answer
    x = 2,454.97

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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.