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Finding the Fourth Proportional to 2,733.40, 4,104.42 and 2,158.84

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Solution

The fourth proportional to 2,733.40, 4,104.42 and 2,158.84 is: 3,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.40 : 4,104.42 = 2,158.84 : x
  2. Step 2: Convert to fraction form
    2,733.40/4,104.42 = 2,158.84/x
  3. Step 3: Cross multiply
    2,733.40x = 4,104.42 × 2,158.84
  4. Step 4: Simplify right side
    2,733.40x = 8,860,786.07
  5. Step 5: Solve for x
    x = 8,860,786.07/2,733.40
  6. Step 6: Final answer
    x = 3,241.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.