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Finding the Fourth Proportional to 2,231.92, 3,080.34 and 1,348.22

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Solution

The fourth proportional to 2,231.92, 3,080.34 and 1,348.22 is: 1,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.92 : 3,080.34 = 1,348.22 : x
  2. Step 2: Convert to fraction form
    2,231.92/3,080.34 = 1,348.22/x
  3. Step 3: Cross multiply
    2,231.92x = 3,080.34 × 1,348.22
  4. Step 4: Simplify right side
    2,231.92x = 4,152,975.99
  5. Step 5: Solve for x
    x = 4,152,975.99/2,231.92
  6. Step 6: Final answer
    x = 1,860.72

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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.