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Finding the Fourth Proportional to 2,649.26, 3,975.10 and 1,351.64

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Solution

The fourth proportional to 2,649.26, 3,975.10 and 1,351.64 is: 2,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.26 : 3,975.10 = 1,351.64 : x
  2. Step 2: Convert to fraction form
    2,649.26/3,975.10 = 1,351.64/x
  3. Step 3: Cross multiply
    2,649.26x = 3,975.10 × 1,351.64
  4. Step 4: Simplify right side
    2,649.26x = 5,372,880.91
  5. Step 5: Solve for x
    x = 5,372,880.91/2,649.26
  6. Step 6: Final answer
    x = 2,028.07

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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.