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Finding the Fourth Proportional to 2,780.68, 3,834.20 and 2,274.94

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Solution

The fourth proportional to 2,780.68, 3,834.20 and 2,274.94 is: 3,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.68 : 3,834.20 = 2,274.94 : x
  2. Step 2: Convert to fraction form
    2,780.68/3,834.20 = 2,274.94/x
  3. Step 3: Cross multiply
    2,780.68x = 3,834.20 × 2,274.94
  4. Step 4: Simplify right side
    2,780.68x = 8,722,574.95
  5. Step 5: Solve for x
    x = 8,722,574.95/2,780.68
  6. Step 6: Final answer
    x = 3,136.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.