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Finding the Fourth Proportional to 2,685.27, 3,706.11 and 1,566.39

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Solution

The fourth proportional to 2,685.27, 3,706.11 and 1,566.39 is: 2,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.27 : 3,706.11 = 1,566.39 : x
  2. Step 2: Convert to fraction form
    2,685.27/3,706.11 = 1,566.39/x
  3. Step 3: Cross multiply
    2,685.27x = 3,706.11 × 1,566.39
  4. Step 4: Simplify right side
    2,685.27x = 5,805,213.64
  5. Step 5: Solve for x
    x = 5,805,213.64/2,685.27
  6. Step 6: Final answer
    x = 2,161.87

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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.