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Finding the Fourth Proportional to 2,231.97, 3,347.86 and 1,062.81

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Solution

The fourth proportional to 2,231.97, 3,347.86 and 1,062.81 is: 1,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.97 : 3,347.86 = 1,062.81 : x
  2. Step 2: Convert to fraction form
    2,231.97/3,347.86 = 1,062.81/x
  3. Step 3: Cross multiply
    2,231.97x = 3,347.86 × 1,062.81
  4. Step 4: Simplify right side
    2,231.97x = 3,558,139.09
  5. Step 5: Solve for x
    x = 3,558,139.09/2,231.97
  6. Step 6: Final answer
    x = 1,594.17

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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.