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Finding the Fourth Proportional to 2,669.42, 3,673.22 and 2,004.14

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Solution

The fourth proportional to 2,669.42, 3,673.22 and 2,004.14 is: 2,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.42 : 3,673.22 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    2,669.42/3,673.22 = 2,004.14/x
  3. Step 3: Cross multiply
    2,669.42x = 3,673.22 × 2,004.14
  4. Step 4: Simplify right side
    2,669.42x = 7,361,647.13
  5. Step 5: Solve for x
    x = 7,361,647.13/2,669.42
  6. Step 6: Final answer
    x = 2,757.77

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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.