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Finding the Fourth Proportional to 2,703.24, 3,730.41 and 1,524.33

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Solution

The fourth proportional to 2,703.24, 3,730.41 and 1,524.33 is: 2,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.24 : 3,730.41 = 1,524.33 : x
  2. Step 2: Convert to fraction form
    2,703.24/3,730.41 = 1,524.33/x
  3. Step 3: Cross multiply
    2,703.24x = 3,730.41 × 1,524.33
  4. Step 4: Simplify right side
    2,703.24x = 5,686,375.88
  5. Step 5: Solve for x
    x = 5,686,375.88/2,703.24
  6. Step 6: Final answer
    x = 2,103.54

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