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Finding the Fourth Proportional to 2,191.98, 3,289.18 and 1,218.62

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Solution

The fourth proportional to 2,191.98, 3,289.18 and 1,218.62 is: 1,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.98 : 3,289.18 = 1,218.62 : x
  2. Step 2: Convert to fraction form
    2,191.98/3,289.18 = 1,218.62/x
  3. Step 3: Cross multiply
    2,191.98x = 3,289.18 × 1,218.62
  4. Step 4: Simplify right side
    2,191.98x = 4,008,260.53
  5. Step 5: Solve for x
    x = 4,008,260.53/2,191.98
  6. Step 6: Final answer
    x = 1,828.60

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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.