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Finding the Fourth Proportional to 3,343.60, 5,009.68 and 1,608.56

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Solution

The fourth proportional to 3,343.60, 5,009.68 and 1,608.56 is: 2,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.60 : 5,009.68 = 1,608.56 : x
  2. Step 2: Convert to fraction form
    3,343.60/5,009.68 = 1,608.56/x
  3. Step 3: Cross multiply
    3,343.60x = 5,009.68 × 1,608.56
  4. Step 4: Simplify right side
    3,343.60x = 8,058,370.86
  5. Step 5: Solve for x
    x = 8,058,370.86/3,343.60
  6. Step 6: Final answer
    x = 2,410.09

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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.