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Finding the Fourth Proportional to 2,524.46, 3,778.47 and 2,174.54

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Solution

The fourth proportional to 2,524.46, 3,778.47 and 2,174.54 is: 3,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.46 : 3,778.47 = 2,174.54 : x
  2. Step 2: Convert to fraction form
    2,524.46/3,778.47 = 2,174.54/x
  3. Step 3: Cross multiply
    2,524.46x = 3,778.47 × 2,174.54
  4. Step 4: Simplify right side
    2,524.46x = 8,216,415.26
  5. Step 5: Solve for x
    x = 8,216,415.26/2,524.46
  6. Step 6: Final answer
    x = 3,254.73

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