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Finding the Fourth Proportional to 3,201.93, 4,416.90 and 2,006.66

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Solution

The fourth proportional to 3,201.93, 4,416.90 and 2,006.66 is: 2,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.93 : 4,416.90 = 2,006.66 : x
  2. Step 2: Convert to fraction form
    3,201.93/4,416.90 = 2,006.66/x
  3. Step 3: Cross multiply
    3,201.93x = 4,416.90 × 2,006.66
  4. Step 4: Simplify right side
    3,201.93x = 8,863,194.47
  5. Step 5: Solve for x
    x = 8,863,194.47/3,201.93
  6. Step 6: Final answer
    x = 2,768.08

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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.