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Finding the Fourth Proportional to 1,608.12, 2,411.94 and 1,335.96

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Solution

The fourth proportional to 1,608.12, 2,411.94 and 1,335.96 is: 2,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.12 : 2,411.94 = 1,335.96 : x
  2. Step 2: Convert to fraction form
    1,608.12/2,411.94 = 1,335.96/x
  3. Step 3: Cross multiply
    1,608.12x = 2,411.94 × 1,335.96
  4. Step 4: Simplify right side
    1,608.12x = 3,222,255.36
  5. Step 5: Solve for x
    x = 3,222,255.36/1,608.12
  6. Step 6: Final answer
    x = 2,003.74

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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.