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Finding the Fourth Proportional to 2,269.92, 3,131.64 and 1,571.88

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Solution

The fourth proportional to 2,269.92, 3,131.64 and 1,571.88 is: 2,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.92 : 3,131.64 = 1,571.88 : x
  2. Step 2: Convert to fraction form
    2,269.92/3,131.64 = 1,571.88/x
  3. Step 3: Cross multiply
    2,269.92x = 3,131.64 × 1,571.88
  4. Step 4: Simplify right side
    2,269.92x = 4,922,562.28
  5. Step 5: Solve for x
    x = 4,922,562.28/2,269.92
  6. Step 6: Final answer
    x = 2,168.61

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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.