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Finding the Fourth Proportional to 2,322.56, 3,197.31 and 2,012.13

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Solution

The fourth proportional to 2,322.56, 3,197.31 and 2,012.13 is: 2,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.56 : 3,197.31 = 2,012.13 : x
  2. Step 2: Convert to fraction form
    2,322.56/3,197.31 = 2,012.13/x
  3. Step 3: Cross multiply
    2,322.56x = 3,197.31 × 2,012.13
  4. Step 4: Simplify right side
    2,322.56x = 6,433,403.37
  5. Step 5: Solve for x
    x = 6,433,403.37/2,322.56
  6. Step 6: Final answer
    x = 2,769.97

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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.