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Finding the Fourth Proportional to 2,761.98, 4,142.25 and 1,029.66

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Solution

The fourth proportional to 2,761.98, 4,142.25 and 1,029.66 is: 1,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.98 : 4,142.25 = 1,029.66 : x
  2. Step 2: Convert to fraction form
    2,761.98/4,142.25 = 1,029.66/x
  3. Step 3: Cross multiply
    2,761.98x = 4,142.25 × 1,029.66
  4. Step 4: Simplify right side
    2,761.98x = 4,265,109.14
  5. Step 5: Solve for x
    x = 4,265,109.14/2,761.98
  6. Step 6: Final answer
    x = 1,544.22

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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.