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Finding the Fourth Proportional to 2,113.86, 3,171.31 and 727.22

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Solution

The fourth proportional to 2,113.86, 3,171.31 and 727.22 is: 1,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.86 : 3,171.31 = 727.22 : x
  2. Step 2: Convert to fraction form
    2,113.86/3,171.31 = 727.22/x
  3. Step 3: Cross multiply
    2,113.86x = 3,171.31 × 727.22
  4. Step 4: Simplify right side
    2,113.86x = 2,306,222.38
  5. Step 5: Solve for x
    x = 2,306,222.38/2,113.86
  6. Step 6: Final answer
    x = 1,091.00

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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.