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Finding the Fourth Proportional to 3,042.89, 4,199.17 and 1,645.64

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Solution

The fourth proportional to 3,042.89, 4,199.17 and 1,645.64 is: 2,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.89 : 4,199.17 = 1,645.64 : x
  2. Step 2: Convert to fraction form
    3,042.89/4,199.17 = 1,645.64/x
  3. Step 3: Cross multiply
    3,042.89x = 4,199.17 × 1,645.64
  4. Step 4: Simplify right side
    3,042.89x = 6,910,323.02
  5. Step 5: Solve for x
    x = 6,910,323.02/3,042.89
  6. Step 6: Final answer
    x = 2,270.97

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