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Finding the Fourth Proportional to 2,706.12, 3,734.22 and 1,586.94

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Solution

The fourth proportional to 2,706.12, 3,734.22 and 1,586.94 is: 2,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.12 : 3,734.22 = 1,586.94 : x
  2. Step 2: Convert to fraction form
    2,706.12/3,734.22 = 1,586.94/x
  3. Step 3: Cross multiply
    2,706.12x = 3,734.22 × 1,586.94
  4. Step 4: Simplify right side
    2,706.12x = 5,925,983.09
  5. Step 5: Solve for x
    x = 5,925,983.09/2,706.12
  6. Step 6: Final answer
    x = 2,189.84

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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.