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Finding the Fourth Proportional to 2,164.56, 3,243.96 and 1,612.32

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Solution

The fourth proportional to 2,164.56, 3,243.96 and 1,612.32 is: 2,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 3,243.96 = 1,612.32 : x
  2. Step 2: Convert to fraction form
    2,164.56/3,243.96 = 1,612.32/x
  3. Step 3: Cross multiply
    2,164.56x = 3,243.96 × 1,612.32
  4. Step 4: Simplify right side
    2,164.56x = 5,230,301.59
  5. Step 5: Solve for x
    x = 5,230,301.59/2,164.56
  6. Step 6: Final answer
    x = 2,416.33

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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.