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Finding the Fourth Proportional to 2,233.86, 3,081.72 and 1,571.14

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Solution

The fourth proportional to 2,233.86, 3,081.72 and 1,571.14 is: 2,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.86 : 3,081.72 = 1,571.14 : x
  2. Step 2: Convert to fraction form
    2,233.86/3,081.72 = 1,571.14/x
  3. Step 3: Cross multiply
    2,233.86x = 3,081.72 × 1,571.14
  4. Step 4: Simplify right side
    2,233.86x = 4,841,813.56
  5. Step 5: Solve for x
    x = 4,841,813.56/2,233.86
  6. Step 6: Final answer
    x = 2,167.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.