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Finding the Fourth Proportional to 2,297.46, 3,447.92 and 1,682.76

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Solution

The fourth proportional to 2,297.46, 3,447.92 and 1,682.76 is: 2,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.46 : 3,447.92 = 1,682.76 : x
  2. Step 2: Convert to fraction form
    2,297.46/3,447.92 = 1,682.76/x
  3. Step 3: Cross multiply
    2,297.46x = 3,447.92 × 1,682.76
  4. Step 4: Simplify right side
    2,297.46x = 5,802,004.62
  5. Step 5: Solve for x
    x = 5,802,004.62/2,297.46
  6. Step 6: Final answer
    x = 2,525.41

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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.