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Finding the Fourth Proportional to 2,344.33, 3,514.20 and 1,304.83

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Solution

The fourth proportional to 2,344.33, 3,514.20 and 1,304.83 is: 1,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.33 : 3,514.20 = 1,304.83 : x
  2. Step 2: Convert to fraction form
    2,344.33/3,514.20 = 1,304.83/x
  3. Step 3: Cross multiply
    2,344.33x = 3,514.20 × 1,304.83
  4. Step 4: Simplify right side
    2,344.33x = 4,585,433.59
  5. Step 5: Solve for x
    x = 4,585,433.59/2,344.33
  6. Step 6: Final answer
    x = 1,955.97

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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.