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Finding the Fourth Proportional to 2,649.34, 3,975.23 and 1,350.90

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Solution

The fourth proportional to 2,649.34, 3,975.23 and 1,350.90 is: 2,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.34 : 3,975.23 = 1,350.90 : x
  2. Step 2: Convert to fraction form
    2,649.34/3,975.23 = 1,350.90/x
  3. Step 3: Cross multiply
    2,649.34x = 3,975.23 × 1,350.90
  4. Step 4: Simplify right side
    2,649.34x = 5,370,138.21
  5. Step 5: Solve for x
    x = 5,370,138.21/2,649.34
  6. Step 6: Final answer
    x = 2,026.97

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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.