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Finding the Fourth Proportional to 2,194.84, 3,289.56 and 1,219.60

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Solution

The fourth proportional to 2,194.84, 3,289.56 and 1,219.60 is: 1,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.84 : 3,289.56 = 1,219.60 : x
  2. Step 2: Convert to fraction form
    2,194.84/3,289.56 = 1,219.60/x
  3. Step 3: Cross multiply
    2,194.84x = 3,289.56 × 1,219.60
  4. Step 4: Simplify right side
    2,194.84x = 4,011,947.38
  5. Step 5: Solve for x
    x = 4,011,947.38/2,194.84
  6. Step 6: Final answer
    x = 1,827.90

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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.