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Finding the Fourth Proportional to 2,699.68, 3,722.16 and 2,201.80

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Solution

The fourth proportional to 2,699.68, 3,722.16 and 2,201.80 is: 3,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.68 : 3,722.16 = 2,201.80 : x
  2. Step 2: Convert to fraction form
    2,699.68/3,722.16 = 2,201.80/x
  3. Step 3: Cross multiply
    2,699.68x = 3,722.16 × 2,201.80
  4. Step 4: Simplify right side
    2,699.68x = 8,195,451.89
  5. Step 5: Solve for x
    x = 8,195,451.89/2,699.68
  6. Step 6: Final answer
    x = 3,035.71

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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.