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Finding the Fourth Proportional to 2,405.33, 3,605.83 and 865.97

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Solution

The fourth proportional to 2,405.33, 3,605.83 and 865.97 is: 1,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.33 : 3,605.83 = 865.97 : x
  2. Step 2: Convert to fraction form
    2,405.33/3,605.83 = 865.97/x
  3. Step 3: Cross multiply
    2,405.33x = 3,605.83 × 865.97
  4. Step 4: Simplify right side
    2,405.33x = 3,122,540.61
  5. Step 5: Solve for x
    x = 3,122,540.61/2,405.33
  6. Step 6: Final answer
    x = 1,298.18

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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.