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Finding the Fourth Proportional to 2,323.09, 3,205.94 and 1,314.87

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Solution

The fourth proportional to 2,323.09, 3,205.94 and 1,314.87 is: 1,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.09 : 3,205.94 = 1,314.87 : x
  2. Step 2: Convert to fraction form
    2,323.09/3,205.94 = 1,314.87/x
  3. Step 3: Cross multiply
    2,323.09x = 3,205.94 × 1,314.87
  4. Step 4: Simplify right side
    2,323.09x = 4,215,375.73
  5. Step 5: Solve for x
    x = 4,215,375.73/2,323.09
  6. Step 6: Final answer
    x = 1,814.55

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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.