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Finding the Fourth Proportional to 2,609.97, 3,910.86 and 1,438.98

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Solution

The fourth proportional to 2,609.97, 3,910.86 and 1,438.98 is: 2,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.97 : 3,910.86 = 1,438.98 : x
  2. Step 2: Convert to fraction form
    2,609.97/3,910.86 = 1,438.98/x
  3. Step 3: Cross multiply
    2,609.97x = 3,910.86 × 1,438.98
  4. Step 4: Simplify right side
    2,609.97x = 5,627,649.32
  5. Step 5: Solve for x
    x = 5,627,649.32/2,609.97
  6. Step 6: Final answer
    x = 2,156.21

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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.