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Finding the Fourth Proportional to 2,683.11, 3,699.87 and 2,122.68

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Solution

The fourth proportional to 2,683.11, 3,699.87 and 2,122.68 is: 2,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.11 : 3,699.87 = 2,122.68 : x
  2. Step 2: Convert to fraction form
    2,683.11/3,699.87 = 2,122.68/x
  3. Step 3: Cross multiply
    2,683.11x = 3,699.87 × 2,122.68
  4. Step 4: Simplify right side
    2,683.11x = 7,853,640.05
  5. Step 5: Solve for x
    x = 7,853,640.05/2,683.11
  6. Step 6: Final answer
    x = 2,927.07

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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.