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Finding the Fourth Proportional to 2,355.41, 3,249.71 and 1,682.65

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Solution

The fourth proportional to 2,355.41, 3,249.71 and 1,682.65 is: 2,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.41 : 3,249.71 = 1,682.65 : x
  2. Step 2: Convert to fraction form
    2,355.41/3,249.71 = 1,682.65/x
  3. Step 3: Cross multiply
    2,355.41x = 3,249.71 × 1,682.65
  4. Step 4: Simplify right side
    2,355.41x = 5,468,099.87
  5. Step 5: Solve for x
    x = 5,468,099.87/2,355.41
  6. Step 6: Final answer
    x = 2,321.51

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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.