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Finding the Fourth Proportional to 3,189.33, 4,401.81 and 2,054.68

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Solution

The fourth proportional to 3,189.33, 4,401.81 and 2,054.68 is: 2,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.33 : 4,401.81 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    3,189.33/4,401.81 = 2,054.68/x
  3. Step 3: Cross multiply
    3,189.33x = 4,401.81 × 2,054.68
  4. Step 4: Simplify right side
    3,189.33x = 9,044,288.96
  5. Step 5: Solve for x
    x = 9,044,288.96/3,189.33
  6. Step 6: Final answer
    x = 2,835.80

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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.