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Finding the Fourth Proportional to 2,683.17, 3,697.79 and 2,327.99

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Solution

The fourth proportional to 2,683.17, 3,697.79 and 2,327.99 is: 3,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.17 : 3,697.79 = 2,327.99 : x
  2. Step 2: Convert to fraction form
    2,683.17/3,697.79 = 2,327.99/x
  3. Step 3: Cross multiply
    2,683.17x = 3,697.79 × 2,327.99
  4. Step 4: Simplify right side
    2,683.17x = 8,608,388.01
  5. Step 5: Solve for x
    x = 8,608,388.01/2,683.17
  6. Step 6: Final answer
    x = 3,208.29

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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.