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Finding the Fourth Proportional to 2,479.34, 3,727.83 and 2,284.94

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Solution

The fourth proportional to 2,479.34, 3,727.83 and 2,284.94 is: 3,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.34 : 3,727.83 = 2,284.94 : x
  2. Step 2: Convert to fraction form
    2,479.34/3,727.83 = 2,284.94/x
  3. Step 3: Cross multiply
    2,479.34x = 3,727.83 × 2,284.94
  4. Step 4: Simplify right side
    2,479.34x = 8,517,867.88
  5. Step 5: Solve for x
    x = 8,517,867.88/2,479.34
  6. Step 6: Final answer
    x = 3,435.54

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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.