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Finding the Fourth Proportional to 2,706.84, 3,731.94 and 2,206.26

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Solution

The fourth proportional to 2,706.84, 3,731.94 and 2,206.26 is: 3,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.84 : 3,731.94 = 2,206.26 : x
  2. Step 2: Convert to fraction form
    2,706.84/3,731.94 = 2,206.26/x
  3. Step 3: Cross multiply
    2,706.84x = 3,731.94 × 2,206.26
  4. Step 4: Simplify right side
    2,706.84x = 8,233,629.94
  5. Step 5: Solve for x
    x = 8,233,629.94/2,706.84
  6. Step 6: Final answer
    x = 3,041.79

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Why These Related Problems?

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