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Finding the Fourth Proportional to 2,786.75, 4,180.13 and 706.75

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Solution

The fourth proportional to 2,786.75, 4,180.13 and 706.75 is: 1,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.75 : 4,180.13 = 706.75 : x
  2. Step 2: Convert to fraction form
    2,786.75/4,180.13 = 706.75/x
  3. Step 3: Cross multiply
    2,786.75x = 4,180.13 × 706.75
  4. Step 4: Simplify right side
    2,786.75x = 2,954,306.88
  5. Step 5: Solve for x
    x = 2,954,306.88/2,786.75
  6. Step 6: Final answer
    x = 1,060.13

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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.