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Finding the Fourth Proportional to 2,114.30, 3,171.94 and 727.63

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Solution

The fourth proportional to 2,114.30, 3,171.94 and 727.63 is: 1,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.30 : 3,171.94 = 727.63 : x
  2. Step 2: Convert to fraction form
    2,114.30/3,171.94 = 727.63/x
  3. Step 3: Cross multiply
    2,114.30x = 3,171.94 × 727.63
  4. Step 4: Simplify right side
    2,114.30x = 2,307,988.95
  5. Step 5: Solve for x
    x = 2,307,988.95/2,114.30
  6. Step 6: Final answer
    x = 1,091.61

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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.