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Finding the Fourth Proportional to 1,209.12, 1,817.04 and 1,179.84

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Solution

The fourth proportional to 1,209.12, 1,817.04 and 1,179.84 is: 1,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.12 : 1,817.04 = 1,179.84 : x
  2. Step 2: Convert to fraction form
    1,209.12/1,817.04 = 1,179.84/x
  3. Step 3: Cross multiply
    1,209.12x = 1,817.04 × 1,179.84
  4. Step 4: Simplify right side
    1,209.12x = 2,143,816.47
  5. Step 5: Solve for x
    x = 2,143,816.47/1,209.12
  6. Step 6: Final answer
    x = 1,773.04

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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.