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Finding the Fourth Proportional to 2,761.94, 4,145.97 and 1,374.90

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Solution

The fourth proportional to 2,761.94, 4,145.97 and 1,374.90 is: 2,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.94 : 4,145.97 = 1,374.90 : x
  2. Step 2: Convert to fraction form
    2,761.94/4,145.97 = 1,374.90/x
  3. Step 3: Cross multiply
    2,761.94x = 4,145.97 × 1,374.90
  4. Step 4: Simplify right side
    2,761.94x = 5,700,294.15
  5. Step 5: Solve for x
    x = 5,700,294.15/2,761.94
  6. Step 6: Final answer
    x = 2,063.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.