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Finding the Fourth Proportional to 2,673.34, 3,677.49 and 2,174.89

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Solution

The fourth proportional to 2,673.34, 3,677.49 and 2,174.89 is: 2,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.34 : 3,677.49 = 2,174.89 : x
  2. Step 2: Convert to fraction form
    2,673.34/3,677.49 = 2,174.89/x
  3. Step 3: Cross multiply
    2,673.34x = 3,677.49 × 2,174.89
  4. Step 4: Simplify right side
    2,673.34x = 7,998,136.23
  5. Step 5: Solve for x
    x = 7,998,136.23/2,673.34
  6. Step 6: Final answer
    x = 2,991.81

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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.