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Finding the Fourth Proportional to 2,166.80, 3,244.70 and 1,191.80

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Solution

The fourth proportional to 2,166.80, 3,244.70 and 1,191.80 is: 1,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.80 : 3,244.70 = 1,191.80 : x
  2. Step 2: Convert to fraction form
    2,166.80/3,244.70 = 1,191.80/x
  3. Step 3: Cross multiply
    2,166.80x = 3,244.70 × 1,191.80
  4. Step 4: Simplify right side
    2,166.80x = 3,867,033.46
  5. Step 5: Solve for x
    x = 3,867,033.46/2,166.80
  6. Step 6: Final answer
    x = 1,784.67

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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.