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Finding the Fourth Proportional to 2,684.82, 3,706.68 and 2,127.54

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Solution

The fourth proportional to 2,684.82, 3,706.68 and 2,127.54 is: 2,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.82 : 3,706.68 = 2,127.54 : x
  2. Step 2: Convert to fraction form
    2,684.82/3,706.68 = 2,127.54/x
  3. Step 3: Cross multiply
    2,684.82x = 3,706.68 × 2,127.54
  4. Step 4: Simplify right side
    2,684.82x = 7,886,109.97
  5. Step 5: Solve for x
    x = 7,886,109.97/2,684.82
  6. Step 6: Final answer
    x = 2,937.30

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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.