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Finding the Fourth Proportional to 1,772.82, 2,661.09 and 849.15

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Solution

The fourth proportional to 1,772.82, 2,661.09 and 849.15 is: 1,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.82 : 2,661.09 = 849.15 : x
  2. Step 2: Convert to fraction form
    1,772.82/2,661.09 = 849.15/x
  3. Step 3: Cross multiply
    1,772.82x = 2,661.09 × 849.15
  4. Step 4: Simplify right side
    1,772.82x = 2,259,664.57
  5. Step 5: Solve for x
    x = 2,259,664.57/1,772.82
  6. Step 6: Final answer
    x = 1,274.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.