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Finding the Fourth Proportional to 2,682.39, 4,022.10 and 926.58

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Solution

The fourth proportional to 2,682.39, 4,022.10 and 926.58 is: 1,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.39 : 4,022.10 = 926.58 : x
  2. Step 2: Convert to fraction form
    2,682.39/4,022.10 = 926.58/x
  3. Step 3: Cross multiply
    2,682.39x = 4,022.10 × 926.58
  4. Step 4: Simplify right side
    2,682.39x = 3,726,797.42
  5. Step 5: Solve for x
    x = 3,726,797.42/2,682.39
  6. Step 6: Final answer
    x = 1,389.36

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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.