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Finding the Fourth Proportional to 2,405.38, 3,318.42 and 1,619.68

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Solution

The fourth proportional to 2,405.38, 3,318.42 and 1,619.68 is: 2,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.38 : 3,318.42 = 1,619.68 : x
  2. Step 2: Convert to fraction form
    2,405.38/3,318.42 = 1,619.68/x
  3. Step 3: Cross multiply
    2,405.38x = 3,318.42 × 1,619.68
  4. Step 4: Simplify right side
    2,405.38x = 5,374,778.51
  5. Step 5: Solve for x
    x = 5,374,778.51/2,405.38
  6. Step 6: Final answer
    x = 2,234.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.