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Finding the Fourth Proportional to 1,212.72, 1,817.04 and 1,167.18

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Solution

The fourth proportional to 1,212.72, 1,817.04 and 1,167.18 is: 1,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.72 : 1,817.04 = 1,167.18 : x
  2. Step 2: Convert to fraction form
    1,212.72/1,817.04 = 1,167.18/x
  3. Step 3: Cross multiply
    1,212.72x = 1,817.04 × 1,167.18
  4. Step 4: Simplify right side
    1,212.72x = 2,120,812.75
  5. Step 5: Solve for x
    x = 2,120,812.75/1,212.72
  6. Step 6: Final answer
    x = 1,748.81

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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.