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Finding the Fourth Proportional to 2,761.70, 4,141.94 and 1,589.22

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Solution

The fourth proportional to 2,761.70, 4,141.94 and 1,589.22 is: 2,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.70 : 4,141.94 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    2,761.70/4,141.94 = 1,589.22/x
  3. Step 3: Cross multiply
    2,761.70x = 4,141.94 × 1,589.22
  4. Step 4: Simplify right side
    2,761.70x = 6,582,445.94
  5. Step 5: Solve for x
    x = 6,582,445.94/2,761.70
  6. Step 6: Final answer
    x = 2,383.48

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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.