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Finding the Fourth Proportional to 2,609.54, 3,914.60 and 2,609.54

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Solution

The fourth proportional to 2,609.54, 3,914.60 and 2,609.54 is: 3,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.54 : 3,914.60 = 2,609.54 : x
  2. Step 2: Convert to fraction form
    2,609.54/3,914.60 = 2,609.54/x
  3. Step 3: Cross multiply
    2,609.54x = 3,914.60 × 2,609.54
  4. Step 4: Simplify right side
    2,609.54x = 10,215,305.28
  5. Step 5: Solve for x
    x = 10,215,305.28/2,609.54
  6. Step 6: Final answer
    x = 3,914.60

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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.