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Finding the Fourth Proportional to 2,323.12, 3,205.97 and 1,314.75

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Solution

The fourth proportional to 2,323.12, 3,205.97 and 1,314.75 is: 1,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.12 : 3,205.97 = 1,314.75 : x
  2. Step 2: Convert to fraction form
    2,323.12/3,205.97 = 1,314.75/x
  3. Step 3: Cross multiply
    2,323.12x = 3,205.97 × 1,314.75
  4. Step 4: Simplify right side
    2,323.12x = 4,215,042.48
  5. Step 5: Solve for x
    x = 4,215,042.48/2,323.12
  6. Step 6: Final answer
    x = 1,814.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.