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Finding the Fourth Proportional to 2,231.80, 3,348.17 and 1,409.11

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Solution

The fourth proportional to 2,231.80, 3,348.17 and 1,409.11 is: 2,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.80 : 3,348.17 = 1,409.11 : x
  2. Step 2: Convert to fraction form
    2,231.80/3,348.17 = 1,409.11/x
  3. Step 3: Cross multiply
    2,231.80x = 3,348.17 × 1,409.11
  4. Step 4: Simplify right side
    2,231.80x = 4,717,939.83
  5. Step 5: Solve for x
    x = 4,717,939.83/2,231.80
  6. Step 6: Final answer
    x = 2,113.96

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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.