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Finding the Fourth Proportional to 2,232.23, 3,073.46 and 1,895.42

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Solution

The fourth proportional to 2,232.23, 3,073.46 and 1,895.42 is: 2,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.23 : 3,073.46 = 1,895.42 : x
  2. Step 2: Convert to fraction form
    2,232.23/3,073.46 = 1,895.42/x
  3. Step 3: Cross multiply
    2,232.23x = 3,073.46 × 1,895.42
  4. Step 4: Simplify right side
    2,232.23x = 5,825,503.91
  5. Step 5: Solve for x
    x = 5,825,503.91/2,232.23
  6. Step 6: Final answer
    x = 2,609.73

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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.