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Finding the Fourth Proportional to 2,902.37, 4,006.31 and 1,723.44

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Solution

The fourth proportional to 2,902.37, 4,006.31 and 1,723.44 is: 2,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.37 : 4,006.31 = 1,723.44 : x
  2. Step 2: Convert to fraction form
    2,902.37/4,006.31 = 1,723.44/x
  3. Step 3: Cross multiply
    2,902.37x = 4,006.31 × 1,723.44
  4. Step 4: Simplify right side
    2,902.37x = 6,904,634.91
  5. Step 5: Solve for x
    x = 6,904,634.91/2,902.37
  6. Step 6: Final answer
    x = 2,378.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.