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Finding the Fourth Proportional to 3,322.46, 4,979.33 and 1,678.11

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Solution

The fourth proportional to 3,322.46, 4,979.33 and 1,678.11 is: 2,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.46 : 4,979.33 = 1,678.11 : x
  2. Step 2: Convert to fraction form
    3,322.46/4,979.33 = 1,678.11/x
  3. Step 3: Cross multiply
    3,322.46x = 4,979.33 × 1,678.11
  4. Step 4: Simplify right side
    3,322.46x = 8,355,867.66
  5. Step 5: Solve for x
    x = 8,355,867.66/3,322.46
  6. Step 6: Final answer
    x = 2,514.97

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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.