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Finding the Fourth Proportional to 2,396.13, 3,306.86 and 1,348.39

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Solution

The fourth proportional to 2,396.13, 3,306.86 and 1,348.39 is: 1,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.13 : 3,306.86 = 1,348.39 : x
  2. Step 2: Convert to fraction form
    2,396.13/3,306.86 = 1,348.39/x
  3. Step 3: Cross multiply
    2,396.13x = 3,306.86 × 1,348.39
  4. Step 4: Simplify right side
    2,396.13x = 4,458,936.96
  5. Step 5: Solve for x
    x = 4,458,936.96/2,396.13
  6. Step 6: Final answer
    x = 1,860.89

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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.