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Finding the Fourth Proportional to 2,706.65, 3,734.09 and 2,076.07

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Solution

The fourth proportional to 2,706.65, 3,734.09 and 2,076.07 is: 2,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.65 : 3,734.09 = 2,076.07 : x
  2. Step 2: Convert to fraction form
    2,706.65/3,734.09 = 2,076.07/x
  3. Step 3: Cross multiply
    2,706.65x = 3,734.09 × 2,076.07
  4. Step 4: Simplify right side
    2,706.65x = 7,752,232.23
  5. Step 5: Solve for x
    x = 7,752,232.23/2,706.65
  6. Step 6: Final answer
    x = 2,864.14

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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.