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Finding the Fourth Proportional to 2,706.75, 3,734.21 and 1,822.84

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Solution

The fourth proportional to 2,706.75, 3,734.21 and 1,822.84 is: 2,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 3,734.21 = 1,822.84 : x
  2. Step 2: Convert to fraction form
    2,706.75/3,734.21 = 1,822.84/x
  3. Step 3: Cross multiply
    2,706.75x = 3,734.21 × 1,822.84
  4. Step 4: Simplify right side
    2,706.75x = 6,806,876.58
  5. Step 5: Solve for x
    x = 6,806,876.58/2,706.75
  6. Step 6: Final answer
    x = 2,514.77

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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.