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Finding the Fourth Proportional to 2,703.82, 3,731.26 and 1,524.88

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Solution

The fourth proportional to 2,703.82, 3,731.26 and 1,524.88 is: 2,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.82 : 3,731.26 = 1,524.88 : x
  2. Step 2: Convert to fraction form
    2,703.82/3,731.26 = 1,524.88/x
  3. Step 3: Cross multiply
    2,703.82x = 3,731.26 × 1,524.88
  4. Step 4: Simplify right side
    2,703.82x = 5,689,723.75
  5. Step 5: Solve for x
    x = 5,689,723.75/2,703.82
  6. Step 6: Final answer
    x = 2,104.33

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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.