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Finding the Fourth Proportional to 2,486.33, 3,729.85 and 843.14

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Solution

The fourth proportional to 2,486.33, 3,729.85 and 843.14 is: 1,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.33 : 3,729.85 = 843.14 : x
  2. Step 2: Convert to fraction form
    2,486.33/3,729.85 = 843.14/x
  3. Step 3: Cross multiply
    2,486.33x = 3,729.85 × 843.14
  4. Step 4: Simplify right side
    2,486.33x = 3,144,792.95
  5. Step 5: Solve for x
    x = 3,144,792.95/2,486.33
  6. Step 6: Final answer
    x = 1,264.83

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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.