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Finding the Fourth Proportional to 1,822.17, 2,734.41 and 726.65

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Solution

The fourth proportional to 1,822.17, 2,734.41 and 726.65 is: 1,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.17 : 2,734.41 = 726.65 : x
  2. Step 2: Convert to fraction form
    1,822.17/2,734.41 = 726.65/x
  3. Step 3: Cross multiply
    1,822.17x = 2,734.41 × 726.65
  4. Step 4: Simplify right side
    1,822.17x = 1,986,955.39
  5. Step 5: Solve for x
    x = 1,986,955.39/1,822.17
  6. Step 6: Final answer
    x = 1,090.43

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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.